Nagaoka, Takahiro; Wachi, Akihito The Strong Lefschetz Property of Gorenstein Algebras Generated by Relative Invariants. arXiv:2403.05492 Preprint, arXiv:2403.05492 [math.AC] (2024). MSC: 13E10 11S90 17B10 BibTeX Cite \textit{T. Nagaoka} and \textit{A. Wachi}, ``The Strong Lefschetz Property of Gorenstein Algebras Generated by Relative Invariants'', Preprint, arXiv:2403.05492 [math.AC] (2024) Full Text: arXiv OA License
Lőrincz, András Cristian Holonomic functions and prehomogeneous spaces. (English) Zbl 1522.14025 Sel. Math., New Ser. 29, No. 5, Paper No. 69, 48 p. (2023). Reviewer: Christoph Koutschan (Linz) MSC: 14F10 14L30 13A50 11S90 16S32 32S40 PDFBibTeX XMLCite \textit{A. C. Lőrincz}, Sel. Math., New Ser. 29, No. 5, Paper No. 69, 48 p. (2023; Zbl 1522.14025) Full Text: DOI arXiv
Kogiso, Takeyoshi; Nakashima, Hideto Prehomogeneous vector spaces obtained from triangle arrangements. (English) Zbl 07725304 J. Algebra 633, 591-618 (2023). Reviewer: Nikolaos Tziolas (Lefkosía) MSC: 11S90 14M17 22E25 PDFBibTeX XMLCite \textit{T. Kogiso} and \textit{H. Nakashima}, J. Algebra 633, 591--618 (2023; Zbl 07725304) Full Text: DOI arXiv
Lőrincz, András C.; Weyman, Jerzy Local cohomology on a subexceptional series of representations. (Cohomologie locale sur une série de représentations sous-exceptionnelles.) (English. French summary) Zbl 1523.14039 Ann. Inst. Fourier 73, No. 2, 747-782 (2023). MSC: 14F10 14B15 13D45 13A50 11S90 PDFBibTeX XMLCite \textit{A. C. Lőrincz} and \textit{J. Weyman}, Ann. Inst. Fourier 73, No. 2, 747--782 (2023; Zbl 1523.14039) Full Text: DOI arXiv
Li, Wen-Wei Generalized zeta integrals on certain real prehomogeneous vector spaces. (English) Zbl 1527.11085 Nagoya Math. J. 249, 50-87 (2023). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 11S40 11S90 43A85 PDFBibTeX XMLCite \textit{W.-W. Li}, Nagoya Math. J. 249, 50--87 (2023; Zbl 1527.11085) Full Text: DOI arXiv
Lőrincz, András C.; Perlman, Michael Equivariant D-modules on 2x2xn hypermatrices. arXiv:2309.07697 Preprint, arXiv:2309.07697 [math.AG] (2023). MSC: 14F10 14B15 13D45 13A50 11S90 BibTeX Cite \textit{A. C. Lőrincz} and \textit{M. Perlman}, ``Equivariant D-modules on 2x2xn hypermatrices'', Preprint, arXiv:2309.07697 [math.AG] (2023) Full Text: arXiv OA License
Tajima, Kazuaki; Yukie, Akihiko On the GIT stratification of prehomogeneous vector spaces. III. (English) Zbl 1499.11358 Kyushu J. Math. 76, No. 2, 209-368 (2022). MSC: 11S90 11R45 14L24 PDFBibTeX XMLCite \textit{K. Tajima} and \textit{A. Yukie}, Kyushu J. Math. 76, No. 2, 209--368 (2022; Zbl 1499.11358) Full Text: DOI arXiv
Sugiyama, Kazunari Shintani correspondence for Maass forms of level \(N\) and prehomogeneous zeta functions. (English) Zbl 1509.11036 Proc. Japan Acad., Ser. A 98, No. 7, 41-46 (2022). MSC: 11F37 11S90 PDFBibTeX XMLCite \textit{K. Sugiyama}, Proc. Japan Acad., Ser. A 98, No. 7, 41--46 (2022; Zbl 1509.11036) Full Text: DOI arXiv
Yukie, Akihiko On the density of unnormalized Tamagawa numbers of orthogonal groups. III. (English) Zbl 1509.11113 J. Number Theory 238, 557-610 (2022). MSC: 11S90 11R45 PDFBibTeX XMLCite \textit{A. Yukie}, J. Number Theory 238, 557--610 (2022; Zbl 1509.11113) Full Text: DOI
Lee, Eun Hye; Takloo-Bighash, Ramin On a multiple Dirichlet series associated to binary cubic forms. (English) Zbl 1515.11085 J. Number Theory 238, 535-556 (2022). Reviewer: Roma Kačinskaitė (Vilnius) MSC: 11M41 11M32 11S90 PDFBibTeX XMLCite \textit{E. H. Lee} and \textit{R. Takloo-Bighash}, J. Number Theory 238, 535--556 (2022; Zbl 1515.11085) Full Text: DOI
Kim, Henry H.; Tsuzuki, Masao; Wakatsuki, Satoshi The Shintani double zeta functions. (English) Zbl 1506.11080 Forum Math. 34, No. 2, 469-505 (2022). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11F68 11M06 11S90 PDFBibTeX XMLCite \textit{H. H. Kim} et al., Forum Math. 34, No. 2, 469--505 (2022; Zbl 1506.11080) Full Text: DOI arXiv
Li, Wen-Wei Variations on themes of Sato: a survey. (English) Zbl 1484.11212 J. Number Theory 230, 112-145 (2022). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S40 11S90 43A85 PDFBibTeX XMLCite \textit{W.-W. Li}, J. Number Theory 230, 112--145 (2022; Zbl 1484.11212) Full Text: DOI arXiv
Nagaoka, Takahiro; Yazawa, Akiko Strict log-concavity of the Kirchhoff polynomial and its applications to the strong Lefschetz property. (English) Zbl 1460.05091 J. Algebra 577, 175-202 (2021). MSC: 05C31 11S90 05B35 13E10 13H10 52B40 PDFBibTeX XMLCite \textit{T. Nagaoka} and \textit{A. Yazawa}, J. Algebra 577, 175--202 (2021; Zbl 1460.05091) Full Text: DOI arXiv
Nakashima, Hideto On gamma matrices of local zeta functions associated with homogeneous cones. arXiv:2112.15262 Preprint, arXiv:2112.15262 [math.RT] (2021). MSC: 11M41 11S90 22E25 BibTeX Cite \textit{H. Nakashima}, ``On gamma matrices of local zeta functions associated with homogeneous cones'', Preprint, arXiv:2112.15262 [math.RT] (2021) Full Text: arXiv OA License
Tajima, Kazuaki; Yukie, Akihiko On the GIT stratification of prehomogeneous vector spaces. I. (English) Zbl 1469.11463 Comment. Math. Univ. St. Pauli 68, 1-48 (2020). MSC: 11S90 11R45 PDFBibTeX XMLCite \textit{K. Tajima} and \textit{A. Yukie}, Comment. Math. Univ. St. Pauli 68, 1--48 (2020; Zbl 1469.11463) Full Text: arXiv
Tajima, Kazuaki; Yukie, Akihiko On the GIT stratification of prehomogeneous vector spaces. II. (English) Zbl 1456.11225 Tsukuba J. Math. 44, No. 1, 1-62 (2020). MSC: 11S90 11R45 PDFBibTeX XMLCite \textit{K. Tajima} and \textit{A. Yukie}, Tsukuba J. Math. 44, No. 1, 1--62 (2020; Zbl 1456.11225) Full Text: DOI arXiv Euclid
Yukie, Akihiko Rational orbits of prehomogeneous vector spaces. (English) Zbl 1453.11160 RIMS Kôkyûroku Bessatsu B77, 179-182 (2020). MSC: 11S90 11R34 PDFBibTeX XMLCite \textit{A. Yukie}, RIMS Kôkyûroku Bessatsu B77, 179--182 (2020; Zbl 1453.11160) Full Text: Link
Nakashima, Hideto Functional equations of zeta functions associated with homogeneous cones. (English) Zbl 1457.11126 Tohoku Math. J. (2) 72, No. 3, 349-378 (2020). MSC: 11M41 11S90 PDFBibTeX XMLCite \textit{H. Nakashima}, Tôhoku Math. J. (2) 72, No. 3, 349--378 (2020; Zbl 1457.11126) Full Text: DOI Euclid
Lörincz, András Cristian Decompositions of Bernstein-Sato polynomials and slices. (English) Zbl 1454.16018 Transform. Groups 25, No. 2, 577-607 (2020). MSC: 16G20 20G05 11S90 14F10 13A50 14L24 PDFBibTeX XMLCite \textit{A. C. Lörincz}, Transform. Groups 25, No. 2, 577--607 (2020; Zbl 1454.16018) Full Text: DOI arXiv
Taniguchi, Takashi; Thorne, Frank Levels of distribution for sieve problems in prehomogeneous vector spaces. (English) Zbl 1455.11161 Math. Ann. 376, No. 3-4, 1537-1559 (2020). Reviewer: Takeyoshi Kogiso (Saitama) MSC: 11S90 11R16 11E76 PDFBibTeX XMLCite \textit{T. Taniguchi} and \textit{F. Thorne}, Math. Ann. 376, No. 3--4, 1537--1559 (2020; Zbl 1455.11161) Full Text: DOI arXiv
Yukie, Akihiko On the density theorem related to the space of non-split tri-Hermitian forms. II. (English) Zbl 1434.11224 Manuscr. Math. 162, No. 1-2, 221-239 (2020). MSC: 11S90 11R45 20G25 PDFBibTeX XMLCite \textit{A. Yukie}, Manuscr. Math. 162, No. 1--2, 221--239 (2020; Zbl 1434.11224) Full Text: DOI
Taniguchi, Takashi; Thorne, Frank Orbital exponential sums for prehomogeneous vector spaces. (English) Zbl 1506.11148 Am. J. Math. 142, No. 1, 177-213 (2020). MSC: 11S90 11L07 43A85 PDFBibTeX XMLCite \textit{T. Taniguchi} and \textit{F. Thorne}, Am. J. Math. 142, No. 1, 177--213 (2020; Zbl 1506.11148) Full Text: DOI arXiv
Hough, Robert D. The local zeta function in enumerating quartic fields. (English) Zbl 1454.11175 J. Number Theory 210, 1-131 (2020). MSC: 11N45 11R16 11S90 11T23 PDFBibTeX XMLCite \textit{R. D. Hough}, J. Number Theory 210, 1--131 (2020; Zbl 1454.11175) Full Text: DOI arXiv
Miyazaki, Tadashi; Sato, Fumihiro; Sugiyama, Kazunari; Ueno, Takahiko Converse theorems for automorphic distributions and Maass forms of level \(N\). (English) Zbl 1465.11116 Res. Number Theory 6, No. 1, Paper No. 6, 59 p. (2020). MSC: 11F37 11F66 11S90 PDFBibTeX XMLCite \textit{T. Miyazaki} et al., Res. Number Theory 6, No. 1, Paper No. 6, 59 p. (2020; Zbl 1465.11116) Full Text: DOI arXiv
Nakashima, Hideto Completion of local zeta functions associated with a certain class of homogeneous cones. arXiv:2011.11945 Preprint, arXiv:2011.11945 [math.NT] (2020). MSC: 11M41 11S90 22E25 BibTeX Cite \textit{H. Nakashima}, ``Completion of local zeta functions associated with a certain class of homogeneous cones'', Preprint, arXiv:2011.11945 [math.NT] (2020) Full Text: arXiv OA License
Harinck, Pascale; Rubenthaler, Hubert Local Zeta Functions for a class of p-adic symmetric spaces. arXiv:2003.05764 Preprint, arXiv:2003.05764 [math.RT] (2020). MSC: 17B20 17B70 11S90 BibTeX Cite \textit{P. Harinck} and \textit{H. Rubenthaler}, ``Local Zeta Functions for a class of p-adic symmetric spaces'', Preprint, arXiv:2003.05764 [math.RT] (2020) Full Text: arXiv OA License
Hoffmann, Werner Zeta functions and the trace formula. (English) Zbl 1473.11097 Baake, Michael (ed.) et al., Spectral structures and topological methods in mathematics. Zürich: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 323-343 (2019). Reviewer: Takeyoshi Kogiso (Saitama) MSC: 11F66 11M41 11F72 11S90 PDFBibTeX XMLCite \textit{W. Hoffmann}, in: Spectral structures and topological methods in mathematics. Zürich: European Mathematical Society (EMS). 323--343 (2019; Zbl 1473.11097) Full Text: DOI
Kamiyoshi, Tomohiro; Kurosawa, Yoshiteru; Nagase, Hiroshi; Nagura, Makoto Regular prehomogeneous vector spaces for valued Dynkin quivers. (English) Zbl 1454.16017 Tsukuba J. Math. 43, No. 1, 71-111 (2019). MSC: 16G20 11S90 PDFBibTeX XMLCite \textit{T. Kamiyoshi} et al., Tsukuba J. Math. 43, No. 1, 71--111 (2019; Zbl 1454.16017) Full Text: DOI Euclid
Ishimoto, Kazuki Orbital exponential sums for some quadratic prehomogeneous vector spaces. (English) Zbl 1445.11139 Comment. Math. Univ. St. Pauli 67, No. 2, 101-145 (2019). MSC: 11S90 PDFBibTeX XMLCite \textit{K. Ishimoto}, Comment. Math. Univ. St. Pauli 67, No. 2, 101--145 (2019; Zbl 1445.11139)
Ouchi, Masaya A note on a structure theorem for prehomogeneous vector spaces. (English) Zbl 1453.11159 Fixed Point Theory 20, No. 1, 271-288 (2019). MSC: 11S90 20C15 PDFBibTeX XMLCite \textit{M. Ouchi}, Fixed Point Theory 20, No. 1, 271--288 (2019; Zbl 1453.11159) Full Text: DOI
Kable, Anthony C. Deficient homomorphisms between generalized Verma modules. (English) Zbl 1435.17012 Int. J. Math. 30, No. 11, Article ID 1950056, 26 p. (2019). MSC: 17B10 11S90 PDFBibTeX XMLCite \textit{A. C. Kable}, Int. J. Math. 30, No. 11, Article ID 1950056, 26 p. (2019; Zbl 1435.17012) Full Text: DOI
Yukie, Akihiko Rational orbits of primitive trivectors in dimension six. (English) Zbl 1443.11252 Tohoku Math. J. (2) 71, No. 1, 35-52 (2019). MSC: 11S90 11R34 PDFBibTeX XMLCite \textit{A. Yukie}, Tôhoku Math. J. (2) 71, No. 1, 35--52 (2019; Zbl 1443.11252) Full Text: DOI Euclid
Yukie, Akihiko On the density theorem related to the space of non-split tri-Hermitian forms. I. (English) Zbl 1434.11223 J. Number Theory 194, 117-169 (2019). MSC: 11S90 11R45 20G25 PDFBibTeX XMLCite \textit{A. Yukie}, J. Number Theory 194, 117--169 (2019; Zbl 1434.11223) Full Text: DOI
Damon, James Characteristic Cohomology II: Matrix Singularities. arXiv:1911.02102 Preprint, arXiv:1911.02102 [math.AG] (2019). MSC: 11S90 32S25 55R80 57T15 14M12 20G05 BibTeX Cite \textit{J. Damon}, ``Characteristic Cohomology II: Matrix Singularities'', Preprint, arXiv:1911.02102 [math.AG] (2019) Full Text: arXiv OA License
Nishiyama, Kyo; Ørsted, Bent; Wachi, Akihito Enhanced zeta distributions and its functional equations. arXiv:1905.01597 Preprint, arXiv:1905.01597 [math.RT] (2019). MSC: 22E46 14M15 11S90 22E45 47G10 BibTeX Cite \textit{K. Nishiyama} et al., ``Enhanced zeta distributions and its functional equations'', Preprint, arXiv:1905.01597 [math.RT] (2019) Full Text: DOI arXiv OA License
Li, Wen-Wei Towards generalized prehomogeneous zeta integrals. (English) Zbl 1450.22006 Heiermann, Volker (ed.) et al., Relative aspects in representation theory, Langlands functoriality and automorphic forms. CIRM Jean-Morlet Chair, spring 2016. Cham: Springer; Paris: Société Mathématique de France (SMF). Lect. Notes Math. 2221, 287-318 (2018). MSC: 22E50 11F70 11S90 PDFBibTeX XMLCite \textit{W.-W. Li}, Lect. Notes Math. 2221, 287--318 (2018; Zbl 1450.22006) Full Text: DOI arXiv
Finis, Tobias; Hoffmann, Werner; Wakatsuki, Satoshi The subregular unipotent contribution to the geometric side of the Arthur trace formula for the split exceptional group \(G_2\). (English) Zbl 1453.11075 Müller, Werner (ed.) et al., Geometric aspects of the trace formula. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 10–16, 2016. Cham: Springer. Simons Symp., 163-182 (2018). MSC: 11F72 11F55 PDFBibTeX XMLCite \textit{T. Finis} et al., in: Geometric aspects of the trace formula. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 10--16, 2016. Cham: Springer. 163--182 (2018; Zbl 1453.11075) Full Text: DOI arXiv
Hoffmann, Werner; Wakatsuki, Satoshi On the geometric side of the Arthur trace formula for the symplectic group of rank 2. (English) Zbl 1442.11002 Memoirs of the American Mathematical Society 1224. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3102-0/print; 978-1-4704-4825-7/ebook). vi, 92 p. (2018). MSC: 11-02 11F72 11S90 11R42 11E45 22E30 22E35 PDFBibTeX XMLCite \textit{W. Hoffmann} and \textit{S. Wakatsuki}, On the geometric side of the Arthur trace formula for the symplectic group of rank 2. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1442.11002) Full Text: DOI arXiv Link
Kogiso, Takeyoshi; Sato, Fumihiro Local functional equations attached to the polarizations of homaloidal polynomials. (English) Zbl 1458.11167 Kyushu J. Math. 72, No. 2, 307-331 (2018). MSC: 11S90 11S40 14E07 32C38 PDFBibTeX XMLCite \textit{T. Kogiso} and \textit{F. Sato}, Kyushu J. Math. 72, No. 2, 307--331 (2018; Zbl 1458.11167) Full Text: DOI
Li, Wen-Wei Zeta integrals, Schwartz spaces and local functional equations. (English) Zbl 1425.11001 Lecture Notes in Mathematics 2228. Cham: Springer (ISBN 978-3-030-01287-8/pbk; 978-3-030-01288-5/ebook). viii, 139 p. (2018). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11-02 11M41 11S40 11F70 11S90 22E50 PDFBibTeX XMLCite \textit{W.-W. Li}, Zeta integrals, Schwartz spaces and local functional equations. Cham: Springer (2018; Zbl 1425.11001) Full Text: DOI arXiv
Pollack, Aaron Lifting laws and arithmetic invariant theory. (English) Zbl 1432.16037 Camb. J. Math. 6, No. 4, 347-449 (2018). MSC: 16W22 11S90 PDFBibTeX XMLCite \textit{A. Pollack}, Camb. J. Math. 6, No. 4, 347--449 (2018; Zbl 1432.16037) Full Text: DOI arXiv
Kato, Ryo; Yukie, Akihiko Rational orbits of the space of pairs of exceptional Jordan algebras. (English) Zbl 1434.11222 J. Number Theory 189, 304-352 (2018). MSC: 11S90 11R45 PDFBibTeX XMLCite \textit{R. Kato} and \textit{A. Yukie}, J. Number Theory 189, 304--352 (2018; Zbl 1434.11222) Full Text: DOI arXiv
Nakashima, Hideto Basic relative invariants of homogeneous cones and their Laplace transforms. (English) Zbl 1451.22002 J. Math. Soc. Japan 70, No. 1, 325-344 (2018). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 22E25 43A85 44A10 11S90 PDFBibTeX XMLCite \textit{H. Nakashima}, J. Math. Soc. Japan 70, No. 1, 325--344 (2018; Zbl 1451.22002) Full Text: DOI
Nishiyama, Kyo; Ørsted, Bent Real double flag varieties for the symplectic group. (English) Zbl 1390.22015 J. Funct. Anal. 274, No. 2, 573-604 (2018). Reviewer: Lizhen Ji (Ann Arbor) MSC: 22E46 14M15 11S90 22E45 47G10 PDFBibTeX XMLCite \textit{K. Nishiyama} and \textit{B. Ørsted}, J. Funct. Anal. 274, No. 2, 573--604 (2018; Zbl 1390.22015) Full Text: DOI arXiv
Yang, Xiaomei; Zhu, Fuhai Flat Lie groups, Frobenius Lie algebras and étale prehomogeneous vector spaces for reductive Lie groups. arXiv:1801.02995 Preprint, arXiv:1801.02995 [math.RT] (2018). MSC: 11S90 17B10 17B20 22E47 22E60 BibTeX Cite \textit{X. Yang} and \textit{F. Zhu}, ``Flat Lie groups, Frobenius Lie algebras and \'{e}tale prehomogeneous vector spaces for reductive Lie groups'', Preprint, arXiv:1801.02995 [math.RT] (2018) Full Text: arXiv OA License
Tamura, Keita Zeta functions associated with automorphic pairs of distributions on prehomogeneous vector spaces. (English) Zbl 1414.11106 Comment. Math. Univ. St. Pauli 66, No. 1-2, 63-84 (2017). MSC: 11M41 11S90 PDFBibTeX XMLCite \textit{K. Tamura}, Comment. Math. Univ. St. Pauli 66, No. 1--2, 63--84 (2017; Zbl 1414.11106)
Nakashima, Hideto A shorter proof of a characterization of symmetric cones by the degrees of the basic relative invariants. (English) Zbl 1390.22022 Kyushu J. Math. 71, No. 2, 251-255 (2017). MSC: 22F30 53C35 11S90 PDFBibTeX XMLCite \textit{H. Nakashima}, Kyushu J. Math. 71, No. 2, 251--255 (2017; Zbl 1390.22022) Full Text: DOI
Sasano, Nagatoshi Graded Lie algebras and regular prehomogeneous vector spaces with one-dimensional scalar multiplication. (English) Zbl 1427.11137 Proc. Japan Acad., Ser. A 93, No. 10, 124-128 (2017). MSC: 11S90 17B65 17B70 PDFBibTeX XMLCite \textit{N. Sasano}, Proc. Japan Acad., Ser. A 93, No. 10, 124--128 (2017; Zbl 1427.11137) Full Text: DOI arXiv
Stasinski, Alexander; Voll, Christopher Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces. (English) Zbl 1366.22009 Forum Math. 29, No. 3, 717-734 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 22E55 20F69 05A15 11S90 11M41 PDFBibTeX XMLCite \textit{A. Stasinski} and \textit{C. Voll}, Forum Math. 29, No. 3, 717--734 (2017; Zbl 1366.22009) Full Text: DOI arXiv Link
Yamana, Shunsuke Siegel series for skew Hermitian forms over quaternion algebras. (English) Zbl 1426.11032 Abh. Math. Semin. Univ. Hamb. 87, No. 1, 43-59 (2017). MSC: 11E45 11S90 PDFBibTeX XMLCite \textit{S. Yamana}, Abh. Math. Semin. Univ. Hamb. 87, No. 1, 43--59 (2017; Zbl 1426.11032) Full Text: DOI
Ikeda, Tamotsu On the functional equation of the Siegel series. (English) Zbl 1419.11083 J. Number Theory 172, 44-62 (2017). MSC: 11F46 11S40 11S90 PDFBibTeX XMLCite \textit{T. Ikeda}, J. Number Theory 172, 44--62 (2017; Zbl 1419.11083) Full Text: DOI arXiv
Barbasch, Dan; Da Silva, Sergio; Elek, Balázs; Krishnan, Gautam Gopal Finite type multiple flag varieties of exceptional groups. arXiv:1708.06341 Preprint, arXiv:1708.06341 [math.RT] (2017). MSC: 22E46 22E47 14M15 11S90 BibTeX Cite \textit{D. Barbasch} et al., ``Finite type multiple flag varieties of exceptional groups'', Preprint, arXiv:1708.06341 [math.RT] (2017) Full Text: arXiv OA License
Kogiso, Takeyoshi; Sato, Fumihiro Clifford quartic forms and local functional equations of non-prehomogeneous type. (English) Zbl 1409.11112 J. Math. Sci., Tokyo 23, No. 4, 791-866 (2016). MSC: 11S40 11E45 11E88 11S90 15A66 PDFBibTeX XMLCite \textit{T. Kogiso} and \textit{F. Sato}, J. Math. Sci., Tokyo 23, No. 4, 791--866 (2016; Zbl 1409.11112) Full Text: arXiv Link
Hoffmann, Werner The trace formula and prehomogeneous vector spaces. (English) Zbl 1408.11049 Müller, Werner (ed.) et al., Families of automorphic forms and the trace formula. Proceedings of the Simons symposium, Puerto Rico, January 26 – February 1, 2014. Cham: Springer. Simons Symp., 175-215 (2016). MSC: 11F72 11S90 PDFBibTeX XMLCite \textit{W. Hoffmann}, in: Families of automorphic forms and the trace formula. Proceedings of the Simons symposium, Puerto Rico, January 26 -- February 1, 2014. Cham: Springer. 175--215 (2016; Zbl 1408.11049) Full Text: DOI arXiv
Yamasaki, Takashi; Nomura, Takaaki A characterization of symmetric cones by the degrees of basic relative invariants. (English) Zbl 1411.22003 Kyushu J. Math. 70, No. 2, 237-257 (2016). MSC: 22F30 11S90 53C35 PDFBibTeX XMLCite \textit{T. Yamasaki} and \textit{T. Nomura}, Kyushu J. Math. 70, No. 2, 237--257 (2016; Zbl 1411.22003) Full Text: DOI
Ishi, Hideyuki; Kogiso, Takeyoshi Some properties of spaces associated with sub-Hankel determinants. (English) Zbl 1369.11087 Koufany, Khalid (ed.), Analysis, geometry and representations on Lie groups and homogeneous spaces. Conference in honor of Ahmed Intissar and Takeshi Kawazoe, Marrakech, Morocco, December 8–12, 2014. Yokohama: Keio University, Department of Mathematics. Seminar on Mathematical Sciences 39, 83-93 (2016). MSC: 11S90 32M15 PDFBibTeX XMLCite \textit{H. Ishi} and \textit{T. Kogiso}, Semin. Math. Sci. 39, 83--93 (2016; Zbl 1369.11087) Full Text: arXiv
Kato, Ryo; Yukie, Akihiko On equivariant maps related to the space of pairs of exceptional Jordan algebra. (English) Zbl 1403.11075 Comment. Math. Univ. St. Pauli 65, No. 1, 1-13 (2016). MSC: 11S90 11R45 17C40 PDFBibTeX XMLCite \textit{R. Kato} and \textit{A. Yukie}, Comment. Math. Univ. St. Pauli 65, No. 1, 1--13 (2016; Zbl 1403.11075) Full Text: arXiv
Damon, James Topology of exceptional orbit hypersurfaces of prehomogeneous spaces. (English) Zbl 1368.32018 J. Topol. 9, No. 3, 797-825 (2016). Reviewer: Jan Stevens (Göteborg) MSC: 32S25 55R80 11S90 57T15 14M12 PDFBibTeX XMLCite \textit{J. Damon}, J. Topol. 9, No. 3, 797--825 (2016; Zbl 1368.32018) Full Text: DOI arXiv
Fox, Daniel J. F. Functions dividing their Hessian determinants and affine spheres. (English) Zbl 1356.53012 Asian J. Math. 20, No. 3, 503-530 (2016). Reviewer: Hui Li Liu (Shenyang) MSC: 53A15 11S90 15A15 20G05 PDFBibTeX XMLCite \textit{D. J. F. Fox}, Asian J. Math. 20, No. 3, 503--530 (2016; Zbl 1356.53012) Full Text: DOI arXiv
Bhargava, Manjul; Ho, Wei Coregular spaces and genus one curves. (English) Zbl 1342.14074 Camb. J. Math. 4, No. 1, 1-119 (2016). Reviewer: Michel Waldschmidt (Paris) MSC: 14H60 11E12 11E20 11E76 11G05 11R45 14H52 PDFBibTeX XMLCite \textit{M. Bhargava} and \textit{W. Ho}, Camb. J. Math. 4, No. 1, 1--119 (2016; Zbl 1342.14074) Full Text: DOI arXiv
Nakashima, Hideto Characterizations of symmetric cones by means of the basic relative invariants of homogeneous cones. (English) Zbl 1338.32021 Adv. Pure Appl. Math. 7, No. 2, 143-153 (2016). MSC: 32M15 11S90 17D25 22E25 43A85 PDFBibTeX XMLCite \textit{H. Nakashima}, Adv. Pure Appl. Math. 7, No. 2, 143--153 (2016; Zbl 1338.32021) Full Text: DOI
Li, Wen-Wei Towards generalized prehomogeneous zeta integrals. arXiv:1610.05973 Preprint, arXiv:1610.05973 [math.RT] (2016). MSC: 22E50 11F70 11S90 BibTeX Cite \textit{W.-W. Li}, ``Towards generalized prehomogeneous zeta integrals'', Preprint, arXiv:1610.05973 [math.RT] (2016) Full Text: arXiv OA License
Damon, James; Pike, Brian Solvable groups, free divisors and nonisolated matrix singularities. I: Towers of free divisors. (Groupes solvables, diviseurs libres et singularités des matrices nonisolées I : Tours des diviseurs libres.) (English. French summary) Zbl 1371.14056 Ann. Inst. Fourier 65, No. 3, 1251-1300 (2015). MSC: 14L35 11S90 17B66 20G05 PDFBibTeX XMLCite \textit{J. Damon} and \textit{B. Pike}, Ann. Inst. Fourier 65, No. 3, 1251--1300 (2015; Zbl 1371.14056) Full Text: DOI arXiv Link
Sasano, Nagatoshi Lie algebras associated with a standard quadruplet and prehomogeneous vector spaces. (English) Zbl 1326.11077 Tsukuba J. Math. 39, No. 1, 1-14 (2015). Reviewer: Juan Núñez Valdés (Sevilla) MSC: 11S90 17B70 PDFBibTeX XMLCite \textit{N. Sasano}, Tsukuba J. Math. 39, No. 1, 1--14 (2015; Zbl 1326.11077) Full Text: DOI Euclid Link
Wachi, Akihito Capelli identities of odd type and \(b\)-functions. (English) Zbl 1400.17006 Comment. Math. Univ. St. Pauli 63, No. 1-2, 291-303 (2014). MSC: 17B35 11S90 PDFBibTeX XMLCite \textit{A. Wachi}, Comment. Math. Univ. St. Pauli 63, No. 1--2, 291--303 (2014; Zbl 1400.17006)
Tajima, Kazuaki; Yukie, Akihiko Stratification of the null cone in the non-split case. (English) Zbl 1352.11101 Comment. Math. Univ. St. Pauli 63, No. 1-2, 261-276 (2014). MSC: 11S90 11E57 14L24 13A50 PDFBibTeX XMLCite \textit{K. Tajima} and \textit{A. Yukie}, Comment. Math. Univ. St. Pauli 63, No. 1--2, 261--276 (2014; Zbl 1352.11101)
Kable, Anthony C. A geometric perspective on the covariants of the space of pairs of three-by-three symmetric matrices. (English) Zbl 1369.11088 Comment. Math. Univ. St. Pauli 63, No. 1-2, 117-136 (2014). MSC: 11S90 13A50 51A05 PDFBibTeX XMLCite \textit{A. C. Kable}, Comment. Math. Univ. St. Pauli 63, No. 1--2, 117--136 (2014; Zbl 1369.11088)
Sasano, Nagatoshi Lie algebras generated by Lie modules. (English) Zbl 1387.17019 Kyushu J. Math. 68, No. 2, 377-403 (2014). MSC: 17B20 11S90 17B70 PDFBibTeX XMLCite \textit{N. Sasano}, Kyushu J. Math. 68, No. 2, 377--403 (2014; Zbl 1387.17019) Full Text: DOI
Nakashima, Hideto Basic relative invariants of homogeneous cones. (English) Zbl 1356.17027 J. Lie Theory 24, No. 4, 1013-1032 (2014). MSC: 17D25 11S90 14L30 22E25 PDFBibTeX XMLCite \textit{H. Nakashima}, J. Lie Theory 24, No. 4, 1013--1032 (2014; Zbl 1356.17027) Full Text: Link
Gan, Wee Teck; Savin, Gordan Twisted Bhargava cubes. (English) Zbl 1321.11119 Algebra Number Theory 8, No. 8, 1913-1957 (2014). Reviewer: Cristina Flaut (Constanta) MSC: 11S90 17A75 17C40 PDFBibTeX XMLCite \textit{W. T. Gan} and \textit{G. Savin}, Algebra Number Theory 8, No. 8, 1913--1957 (2014; Zbl 1321.11119) Full Text: DOI arXiv
Rubenthaler, Hubert Invariant differential operators on a class of multiplicity-free spaces. (English) Zbl 1308.14019 Pac. J. Math. 270, No. 2, 473-510 (2014). Reviewer: Jacques Faraut (Paris) MSC: 14F10 14L30 14A22 16S32 22E46 11S90 PDFBibTeX XMLCite \textit{H. Rubenthaler}, Pac. J. Math. 270, No. 2, 473--510 (2014; Zbl 1308.14019) Full Text: DOI arXiv
Nagase, Hiroshi; Nagura, Makoto Hom-orthogonal partial tilting modules for Dynkin quivers. (English) Zbl 1308.16015 Commun. Algebra 42, No. 10, 4561-4577 (2014). MSC: 16G20 16E30 11S90 PDFBibTeX XMLCite \textit{H. Nagase} and \textit{M. Nagura}, Commun. Algebra 42, No. 10, 4561--4577 (2014; Zbl 1308.16015) Full Text: DOI
Bernik, Janez; Mastnak, Mitja Note on prehomogeneous vector spaces. (English) Zbl 1304.20059 Monatsh. Math. 174, No. 3, 371-376 (2014). Reviewer: L. N. Vaserstein (University Park) MSC: 20G05 11S90 17B05 PDFBibTeX XMLCite \textit{J. Bernik} and \textit{M. Mastnak}, Monatsh. Math. 174, No. 3, 371--376 (2014; Zbl 1304.20059) Full Text: DOI
Kato, Hironao Projectively flat and affinely flat parabolic subgroups of special linear groups. arXiv:1408.3706 Preprint, arXiv:1408.3706 [math.DG] (2014). MSC: 53B10 11S90 53C10 BibTeX Cite \textit{H. Kato}, ``Projectively flat and affinely flat parabolic subgroups of special linear groups'', Preprint, arXiv:1408.3706 [math.DG] (2014) Full Text: arXiv OA License
Pike, Brian Additive relative invariants and the components of a linear free divisor. arXiv:1401.2976 Preprint, arXiv:1401.2976 [math.RT] (2014). MSC: 11S90 20G20 32S25 17B66 BibTeX Cite \textit{B. Pike}, ``Additive relative invariants and the components of a linear free divisor'', Preprint, arXiv:1401.2976 [math.RT] (2014) Full Text: arXiv OA License
Kogiso, Takeyoshi Fourier transforms of polynomials and prehomogeneous vector spaces. (English) Zbl 1440.11224 Akashi, Shigeo (ed.) et al., Proceedings of the seventh international conference on nonlinear analysis and convex analysis (NACA 2011), Busan, South Korea, August 2–5, 2011. Vol. I. Yokohama: Yokohama Publishers. 241-254 (2013). MSC: 11S90 22E50 43A25 PDFBibTeX XMLCite \textit{T. Kogiso}, in: Proceedings of the seventh international conference on nonlinear analysis and convex analysis (NACA 2011), Busan, South Korea, August 2--5, 2011. Vol. I. Yokohama: Yokohama Publishers. 241--254 (2013; Zbl 1440.11224)
Manivel, L. Prehomogeneous spaces and projective geometry. (English) Zbl 1362.11099 Rend. Semin. Mat., Univ. Politec. Torino 71, No. 1, 35-118 (2013). MSC: 11S90 14L30 14M17 17B08 17B25 15A72 PDFBibTeX XMLCite \textit{L. Manivel}, Rend. Semin. Mat., Univ. Politec. Torino 71, No. 1, 35--118 (2013; Zbl 1362.11099)
Ishii, Yukimi Some classification of prehomogeneous vector spaces associated with Dynkin quivers of exceptional type. (English) Zbl 1373.16033 Int. J. Algebra 7, No. 5-8, 305-336 (2013). MSC: 16G20 11S90 PDFBibTeX XMLCite \textit{Y. Ishii}, Int. J. Algebra 7, No. 5--8, 305--336 (2013; Zbl 1373.16033) Full Text: DOI Link Link
Kato, Hironao Castling transformations of projective structures. (English) Zbl 1312.53026 J. Lie Theory 23, No. 4, 1129-1160 (2013). MSC: 53B10 11S90 53C10 PDFBibTeX XMLCite \textit{H. Kato}, J. Lie Theory 23, No. 4, 1129--1160 (2013; Zbl 1312.53026) Full Text: arXiv Link
Caracciolo, Sergio; Sokal, Alan D.; Sportiello, Andrea Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and Pfaffians. (English) Zbl 1277.05012 Adv. Appl. Math. 50, No. 4, 474-594 (2013). MSC: 05A19 05E15 05E99 11S90 13A50 13N10 14F10 15A15 15A23 15A24 15B33 15A72 15A75 16S32 20G05 20G20 32C38 43A85 81T18 82B20 PDFBibTeX XMLCite \textit{S. Caracciolo} et al., Adv. Appl. Math. 50, No. 4, 474--594 (2013; Zbl 1277.05012) Full Text: DOI arXiv
Taniguchi, Takashi; Thorne, Frank Orbital \(L\)-functions for the space of binary cubic forms. (English) Zbl 1370.11107 Can. J. Math. 65, No. 6, 1320-1383 (2013). MSC: 11M41 11E76 11S90 PDFBibTeX XMLCite \textit{T. Taniguchi} and \textit{F. Thorne}, Can. J. Math. 65, No. 6, 1320--1383 (2013; Zbl 1370.11107) Full Text: DOI arXiv
Kamiyoshi, Tomohiro; Nagura, Makoto; Otani, Shin-Ichi Root sublattices and torus-restriction of prehomogeneous vector spaces associated with Dynkin quivers. (English) Zbl 1282.14081 Commun. Algebra 41, No. 9, 3576-3589 (2013). Reviewer: Artem Lopatin (Omsk) MSC: 14L30 16G20 11S90 PDFBibTeX XMLCite \textit{T. Kamiyoshi} et al., Commun. Algebra 41, No. 9, 3576--3589 (2013; Zbl 1282.14081) Full Text: DOI
Rubenthaler, Hubert Multiplicity free spaces with a one-dimensional quotient. (English) Zbl 1273.14095 J. Lie Theory 23, No. 2, 433-458 (2013). Reviewer: Alan Koch (Decatur) MSC: 14L30 11S90 22E46 PDFBibTeX XMLCite \textit{H. Rubenthaler}, J. Lie Theory 23, No. 2, 433--458 (2013; Zbl 1273.14095) Full Text: arXiv Link
Chaput, Pierre-Emmanuel; Sabatino, Pietro On homaloidal polynomial functions of degree 3 and prehomogeneous vector spaces. (English) Zbl 1266.14011 Collect. Math. 64, No. 1, 135-140 (2013). Reviewer: Jiuzu Hong (Tel Aviv) MSC: 14E05 14M17 14E07 14M07 17C20 11S90 PDFBibTeX XMLCite \textit{P.-E. Chaput} and \textit{P. Sabatino}, Collect. Math. 64, No. 1, 135--140 (2013; Zbl 1266.14011) Full Text: DOI arXiv
Ouchi, Masaya; Hamada, Michio; Kimura, Tatsuo On prehomogeneity of a rank variety. (English) Zbl 1282.11159 Proc. Am. Math. Soc. 140, No. 12, 4127-4129 (2012). MSC: 11S90 15A03 PDFBibTeX XMLCite \textit{M. Ouchi} et al., Proc. Am. Math. Soc. 140, No. 12, 4127--4129 (2012; Zbl 1282.11159) Full Text: DOI
Ryu, Inhyun Universal transitivity of reductive prehomogeneous vector spaces with a finite number of orbits. (English) Zbl 1312.14111 J. Algebra 370, 361-386 (2012). MSC: 14L30 11S90 20G05 PDFBibTeX XMLCite \textit{I. Ryu}, J. Algebra 370, 361--386 (2012; Zbl 1312.14111) Full Text: DOI
Sato, Fumihiro; Kogiso, Takeyoshi Representations of Clifford algebras and local functional equations. (English) Zbl 1273.11066 RIMS Kôkyûroku Bessatsu B36, 53-66 (2012). Reviewer: Wen-Wei Li (Beijing) MSC: 11E45 11E88 11S40 11S90 15A63 15A66 PDFBibTeX XMLCite \textit{F. Sato} and \textit{T. Kogiso}, RIMS Kôkyûroku Bessatsu B36, 53--66 (2012; Zbl 1273.11066)
Wachi, Akihito Logarithmic derivative and the Capelli identities. (English) Zbl 1393.17024 RIMS Kôkyûroku Bessatsu B36, 43-52 (2012). MSC: 17B35 11S90 16G20 PDFBibTeX XMLCite \textit{A. Wachi}, RIMS Kôkyûroku Bessatsu B36, 43--52 (2012; Zbl 1393.17024)
Sugiyama, Kazunari \(b\)-functions and the representation theory of quivers. (English) Zbl 1294.11209 RIMS Kôkyûroku Bessatsu B36, 1-16 (2012). Reviewer: Yumiko Hironaka (Tokyo) MSC: 11S90 20G05 PDFBibTeX XMLCite \textit{K. Sugiyama}, RIMS Kôkyûroku Bessatsu B36, 1--16 (2012; Zbl 1294.11209)
Ibukiyama, Tomoyoshi; Saito, Hiroshi On zeta functions associated to symmetric matrices. II: Functional equations and special values. (English) Zbl 1275.11085 Nagoya Math. J. 208, 265-316 (2012). MSC: 11F66 11F46 11S90 11E12 11R99 PDFBibTeX XMLCite \textit{T. Ibukiyama} and \textit{H. Saito}, Nagoya Math. J. 208, 265--316 (2012; Zbl 1275.11085) Full Text: Euclid
Kimura, Tatsuo; Kurosawa, Yoshiteru; Shibata, Taiki A note on some PV-equivalence. (English) Zbl 1347.11082 Far East J. Math. Sci. (FJMS) 63, No. 2, 269-280 (2012). MSC: 11S90 20G20 PDFBibTeX XMLCite \textit{T. Kimura} et al., Far East J. Math. Sci. (FJMS) 63, No. 2, 269--280 (2012; Zbl 1347.11082) Full Text: Link
Slupinski, Marcus J.; Stanton, Robert J. The special symplectic structure of binary cubics. (English) Zbl 1272.12008 Krötz, Bernhard (ed.) et al., Representation theory, complex analysis, and integral geometry. Outgrowth of the special term “Harmonic analysis, representation theory, and integral geometry” held at the Max Planck Institute for Mathematics and the Hausdorff Research Institute for Mathematics in Bonn, Germany during the summer of 2007. Basel: Birkhäuser (ISBN 978-0-8176-4816-9/hbk; 978-0-8176-4817-6/ebook). 185-230 (2012). Reviewer: Ivailo Mladenov (Sofia) MSC: 12E10 11E76 11S90 53D20 PDFBibTeX XMLCite \textit{M. J. Slupinski} and \textit{R. J. Stanton}, in: Representation theory, complex analysis, and integral geometry. Outgrowth of the special term ``Harmonic analysis, representation theory, and integral geometry'' held at the Max Planck Institute for Mathematics and the Hausdorff Research Institute for Mathematics in Bonn, Germany during the summer of 2007. Basel: Birkhäuser. 185--230 (2012; Zbl 1272.12008) Full Text: DOI arXiv
Kurosawa, Yoshiteru On a classification of 3-simple prehomogeneous vector spaces with two irreducible components. (English) Zbl 1410.11131 Tsukuba J. Math. 36, No. 1, 135-172 (2012). MSC: 11S90 20G05 PDFBibTeX XMLCite \textit{Y. Kurosawa}, Tsukuba J. Math. 36, No. 1, 135--172 (2012; Zbl 1410.11131) Full Text: DOI Euclid
Kato, Hironao Left invariant flat projective structures on Lie groups and prehomogeneous vector spaces. (English) Zbl 1294.53018 Hiroshima Math. J. 42, No. 1, 1-35 (2012). MSC: 53B10 11S90 53A20 53C30 PDFBibTeX XMLCite \textit{H. Kato}, Hiroshima Math. J. 42, No. 1, 1--35 (2012; Zbl 1294.53018) Full Text: arXiv Euclid
Wakatsuki, Satoshi Dimension formulas for spaces of vector-valued Siegel cusp forms of degree two. (English) Zbl 1269.11051 J. Number Theory 132, No. 1, 200-253 (2012). Reviewer: Anke Pohl (Göttingen) MSC: 11F46 11F72 11S90 PDFBibTeX XMLCite \textit{S. Wakatsuki}, J. Number Theory 132, No. 1, 200--253 (2012; Zbl 1269.11051) Full Text: DOI
Kimura, Tatsuo; Takeda, Daisuke; Kamiyoshi, Tomohiro; Ouchi, Masaya; Hamada, Michio; Otsu, Toshiyuki A classification of reductive prehomogeneous vector spaces \((G\times\mathrm{GL}(n), \rho \otimes \Lambda_1 +\sigma \otimes \Lambda_1^*)\) \((n=2, 3)\) of separated type with full scalars. (English) Zbl 1292.11131 J. Algebra Number Theory, Adv. Appl. 5, No. 2, 73-106 (2011). MSC: 11S90 20G20 PDFBibTeX XMLCite \textit{T. Kimura} et al., J. Algebra Number Theory, Adv. Appl. 5, No. 2, 73--106 (2011; Zbl 1292.11131)
Kamiyoshi, Tomohiro; Nagura, Makoto; Otani, Shin-Ichi Counting one-codimensional subspaces generated by subsets of a root system. (English) Zbl 1257.17014 Int. J. Algebra 5, No. 9-12, 591-604 (2011). Reviewer: Saeid Azam (Isfahan) MSC: 17B22 15A21 11S90 PDFBibTeX XMLCite \textit{T. Kamiyoshi} et al., Int. J. Algebra 5, No. 9--12, 591--604 (2011; Zbl 1257.17014) Full Text: Link
Rubenthaler, Hubert Decomposition of reductive regular prehomogeneous vector spaces. (Décomposition des espaces préhomogènes réductifs réguliers.) (English. French summary) Zbl 1250.11100 Ann. Inst. Fourier 61, No. 5, 2183-2218 (2011). MSC: 11S90 20G05 17B20 PDFBibTeX XMLCite \textit{H. Rubenthaler}, Ann. Inst. Fourier 61, No. 5, 2183--2218 (2011; Zbl 1250.11100) Full Text: DOI arXiv EuDML
Sugiyama, Kazunari \(b\)-functions associated with quivers of type A. (English) Zbl 1281.11101 Transform. Groups 16, No. 4, 1183-1222 (2011). MSC: 11S90 16G20 20G05 32C38 PDFBibTeX XMLCite \textit{K. Sugiyama}, Transform. Groups 16, No. 4, 1183--1222 (2011; Zbl 1281.11101) Full Text: DOI arXiv
Hamada, Michio On the quasi-irreducibility and complete quasi-reducibility of some reductive prehomogeneous vector spaces. (English) Zbl 1236.11104 Tsukuba J. Math. 35, No. 1, 115-130 (2011). Reviewer: Li Wen-Wei (Beijing) MSC: 11S90 20G05 PDFBibTeX XMLCite \textit{M. Hamada}, Tsukuba J. Math. 35, No. 1, 115--130 (2011; Zbl 1236.11104) Full Text: DOI Euclid