Jang, Il-Seung Path description for \(q\)-characters of fundamental modules in type \(C\). (English) Zbl 07813007 Commun. Algebra 52, No. 3, 1237-1254 (2024). MSC: 17B37 17B65 05E10 PDFBibTeX XMLCite \textit{I.-S. Jang}, Commun. Algebra 52, No. 3, 1237--1254 (2024; Zbl 07813007) Full Text: DOI arXiv
Khánh, Huynh Vi Leavitt path algebras in which every Lie ideal is an ideal and applications. arXiv:2303.06798 Preprint, arXiv:2303.06798 [math.RA] (2023). MSC: 16S88 17B65 17B20 17B30 BibTeX Cite \textit{H. V. Khánh}, ``Leavitt path algebras in which every Lie ideal is an ideal and applications'', Preprint, arXiv:2303.06798 [math.RA] (2023) Full Text: DOI arXiv OA License
Harrison, Sarah M.; Paquette, Natalie M.; Persson, Daniel; Volpato, Roberto BPS algebras in 2D string theory. (English) Zbl 07587836 Ann. Henri Poincaré 23, No. 10, 3667-3752 (2022). MSC: 81T30 81T35 81R10 81T40 81S40 17B69 81T60 81-02 PDFBibTeX XMLCite \textit{S. M. Harrison} et al., Ann. Henri Poincaré 23, No. 10, 3667--3752 (2022; Zbl 07587836) Full Text: DOI arXiv
Kouno, Takafumi; Naito, Satoshi; Sagaki, Daisuke Chevalley formula for anti-dominant minuscule fundamental weights in the equivariant quantum \(K\)-group of partial flag manifolds. (English) Zbl 1505.17006 J. Comb. Theory, Ser. A 192, Article ID 105670, 42 p. (2022). MSC: 17B10 14M15 19L47 81R50 PDFBibTeX XMLCite \textit{T. Kouno} et al., J. Comb. Theory, Ser. A 192, Article ID 105670, 42 p. (2022; Zbl 1505.17006) Full Text: DOI arXiv
Nam, Tran Giang Simple Lie algebras arising from Steinberg algebras of Hausdorff ample groupoids. (English) Zbl 1495.16004 J. Algebra 595, 194-215 (2022). Reviewer: Pere Ara (Bellaterra) MSC: 16D30 16S88 17B60 PDFBibTeX XMLCite \textit{T. G. Nam}, J. Algebra 595, 194--215 (2022; Zbl 1495.16004) Full Text: DOI arXiv
Skliros, Dimitri; Lüst, Dieter Handle operators in string theory. (English) Zbl 1476.81098 Phys. Rep. 897, 1-180 (2021). MSC: 81T30 14D22 81S40 14H55 17B69 81T18 81R10 PDFBibTeX XMLCite \textit{D. Skliros} and \textit{D. Lüst}, Phys. Rep. 897, 1--180 (2021; Zbl 1476.81098) Full Text: DOI arXiv
Naito, Satoshi; Orr, Daniel; Sagaki, Daisuke Chevalley formula for anti-dominant weights in the equivariant \(K\)-theory of semi-infinite flag manifolds. (English) Zbl 1515.17031 Adv. Math. 387, Article ID 107828, 59 p. (2021). Reviewer: Shintaro Yanagida (Nagoya) MSC: 17B37 14N15 14M15 33D52 81R10 PDFBibTeX XMLCite \textit{S. Naito} et al., Adv. Math. 387, Article ID 107828, 59 p. (2021; Zbl 1515.17031) Full Text: DOI arXiv
Kato, Syu; Naito, Satoshi; Sagaki, Daisuke Equivariant \(K\)-theory of semi-infinite flag manifolds and the Pieri-Chevalley formula. (English) Zbl 1475.17024 Duke Math. J. 169, No. 13, 2421-2500 (2020). Reviewer: Huafeng Zhang (Villeneuve d’Ascq) MSC: 17B37 14N15 33D52 81R10 PDFBibTeX XMLCite \textit{S. Kato} et al., Duke Math. J. 169, No. 13, 2421--2500 (2020; Zbl 1475.17024) Full Text: DOI arXiv Euclid
Acosta, Joel; Garbarz, Alan; Goya, Andrés; Leston, Mauricio Asymptotic boundary conditions and square integrability in the partition function of AdS gravity. (English) Zbl 1437.83031 J. High Energy Phys. 2020, No. 6, Paper No. 172, 10 p. (2020). MSC: 83C45 81R10 81R12 81S40 58J28 35K08 17B68 PDFBibTeX XMLCite \textit{J. Acosta} et al., J. High Energy Phys. 2020, No. 6, Paper No. 172, 10 p. (2020; Zbl 1437.83031) Full Text: DOI arXiv
Naito, Satoshi; Nomoto, Fumihiko; Sagaki, Daisuke Tensor product decomposition theorem for quantum Lakshmibai-Seshadri paths and standard monomial theory for semi-infinite Lakshmibai-Seshadri paths. (English) Zbl 1471.17021 J. Comb. Theory, Ser. A 169, Article ID 105122, 36 p. (2020). MSC: 17B10 05E10 17B22 17B37 PDFBibTeX XMLCite \textit{S. Naito} et al., J. Comb. Theory, Ser. A 169, Article ID 105122, 36 p. (2020; Zbl 1471.17021) Full Text: DOI arXiv
Kikukawa, Yoshio On the gauge-invariant path-integral measure for the overlap Weyl fermions in \(\underline{16}\) of SO(10). (English) Zbl 1477.81057 PTEP, Prog. Theor. Exper. Phys. 2019, No. 11, Article ID 113B03, 63 p. (2019). MSC: 81S40 28C05 83E15 17B69 81Q35 81R10 81T50 81R40 81S30 81V74 PDFBibTeX XMLCite \textit{Y. Kikukawa}, PTEP, Prog. Theor. Exper. Phys. 2019, No. 11, Article ID 113B03, 63 p. (2019; Zbl 1477.81057) Full Text: DOI arXiv
Porrati, Massimo; Yu, Cedric Kac-Moody and Virasoro characters from the perturbative Chern-Simons path integral. (English) Zbl 1416.81097 J. High Energy Phys. 2019, No. 5, Paper No. 83, 71 p. (2019). MSC: 81S40 81T40 58J28 17B67 17B68 81T15 81R10 83C80 PDFBibTeX XMLCite \textit{M. Porrati} and \textit{C. Yu}, J. High Energy Phys. 2019, No. 5, Paper No. 83, 71 p. (2019; Zbl 1416.81097) Full Text: DOI arXiv
Takhtajan, Leon A.; Alekseev, Anton Yu.; Aref’eva, Irina Ya.; Semenov-Tian-Shansky, Michael A.; Sklyanin, Evgeny K.; Smirnov, Fedor A.; Shatashvili, Samson L. Scientific heritage of L. D. Faddeev. Survey of papers. (English. Russian original) Zbl 1396.81008 Russ. Math. Surv. 72, No. 6, 977-1081 (2017); translation from Usp. Mat. Nauk 72, No. 6, xx (2017). MSC: 81-03 01A60 01A70 16T25 17B37 35J10 35P25 35Q53 35Q55 37K15 58B32 58J52 70S15 81R50 81S40 81T10 81T13 81T50 81T70 81U40 82B23 82C23 PDFBibTeX XMLCite \textit{L. A. Takhtajan} et al., Russ. Math. Surv. 72, No. 6, 977--1081 (2017; Zbl 1396.81008); translation from Usp. Mat. Nauk 72, No. 6, xx (2017) Full Text: DOI
Di Francesco, Philippe; Kedem, Rinat; Turmunkh, Bolor A path model for Whittaker vectors. (English) Zbl 1370.81090 J. Phys. A, Math. Theor. 50, No. 25, Article ID 255201, 35 p. (2017). MSC: 81R12 37K10 22E47 33C15 17B20 17B67 17B37 81R50 PDFBibTeX XMLCite \textit{P. Di Francesco} et al., J. Phys. A, Math. Theor. 50, No. 25, Article ID 255201, 35 p. (2017; Zbl 1370.81090) Full Text: DOI arXiv
Saller, Heinrich Operational symmetries. Basic operations in physics. (English) Zbl 1381.81007 Cham: Springer (ISBN 978-3-319-58663-2/hbk; 978-3-319-58664-9/ebook). xi, 574 p. (2017). Reviewer: Dimitar A. Kolev (Sofia) MSC: 81-02 81R10 81V15 81V25 83C20 81Q30 37N20 58D30 00A79 17B10 22E60 22E05 32M05 16W25 81R40 81R50 17B37 20G42 PDFBibTeX XMLCite \textit{H. Saller}, Operational symmetries. Basic operations in physics. Cham: Springer (2017; Zbl 1381.81007) Full Text: DOI
Zeitlin, Anton M. On the unitary representations of the affine \(ax+b\)-group, \(\widehat{sl(2,\mathbb{R})}\) and their relatives. (English) Zbl 1409.22017 Misra, Kailash C. (ed.) et al., Lie algebras, Lie superalgebras, vertex algebras and related topics. 2012–2014 Southeastern Lie theory workshop series: Categorification of quantum groups and representation theory, North Carolina State University, Raleigh, NC, USA, April 21–22, 2012. Lie algebras, vertex algebras, integrable systems and applications, College of Charleston, Charleston, SC, USA, December 16–18, 2012. Noncommutative algebraic geometry and representation theory, Louisiana State University, Baton Rouge, LA, USA, May 10–12, 2013. Representation theory of Lie algebras and superalgebras, University of Georgia, Athens, GA, USA, May 16–17, 2014. Proceedings. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 92, 325-355 (2016). Reviewer: Le Anh Vu (Ho Chi Minh City) MSC: 22E67 20G05 20G42 22D10 22D30 22E70 17B10 17B15 81R10 PDFBibTeX XMLCite \textit{A. M. Zeitlin}, Proc. Symp. Pure Math. 92, 325--355 (2016; Zbl 1409.22017) Full Text: arXiv
Urichuk, Andrew; Walton, Mark A. Adjoint affine fusion and tadpoles. (English) Zbl 1341.81039 J. Math. Phys. 57, No. 6, 061702, 16 p. (2016). MSC: 81S40 81R12 81R10 17B67 17B20 17B10 33D80 PDFBibTeX XMLCite \textit{A. Urichuk} and \textit{M. A. Walton}, J. Math. Phys. 57, No. 6, 061702, 16 p. (2016; Zbl 1341.81039) Full Text: DOI arXiv
Ishii, Motohiro; Naito, Satoshi; Sagaki, Daisuke Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras. (English) Zbl 1387.17028 Adv. Math. 290, 967-1009 (2016). MSC: 17B37 17B67 PDFBibTeX XMLCite \textit{M. Ishii} et al., Adv. Math. 290, 967--1009 (2016; Zbl 1387.17028) Full Text: DOI arXiv
Abrams, Gene; Mesyan, Zachary Simple Lie algebras arising from Leavitt path algebras. (English) Zbl 1266.16001 J. Pure Appl. Algebra 216, No. 10, 2302-2313 (2012). Reviewer: Candido Martín González (Málaga) MSC: 16S88 16D30 17B20 16G20 16S50 16W10 17B60 PDFBibTeX XMLCite \textit{G. Abrams} and \textit{Z. Mesyan}, J. Pure Appl. Algebra 216, No. 10, 2302--2313 (2012; Zbl 1266.16001) Full Text: DOI arXiv
Klotz, Michael An integrability criterion for Banach-Lie triple systems. (English) Zbl 1236.53047 J. Lie Theory 22, No. 1, 205-244 (2012). Reviewer: Walter Freyn (Augsburg) MSC: 53C35 22E65 17B65 58B25 PDFBibTeX XMLCite \textit{M. Klotz}, J. Lie Theory 22, No. 1, 205--244 (2012; Zbl 1236.53047) Full Text: arXiv Link
Naoi, Katsuyuki Weyl modules, Demazure modules and finite crystals for non-simply laced type. (English) Zbl 1305.17009 Adv. Math. 229, No. 2, 875-934 (2012). Reviewer: Albert Sheu (Lawrence) MSC: 17B10 17B37 81R10 PDFBibTeX XMLCite \textit{K. Naoi}, Adv. Math. 229, No. 2, 875--934 (2012; Zbl 1305.17009) Full Text: DOI arXiv
Ludkovsky, S. V. Feynman integration over octonions with application to quantum mechanics. (English) Zbl 1218.46024 Math. Methods Appl. Sci. 33, No. 9, 1148-1173 (2010). Reviewer: Kun Soo Chang (Seoul) MSC: 46G12 81S40 28C20 46F25 17A35 PDFBibTeX XMLCite \textit{S. V. Ludkovsky}, Math. Methods Appl. Sci. 33, No. 9, 1148--1173 (2010; Zbl 1218.46024) Full Text: DOI
Gaussent, Stéphane; Rousseau, Guy Kac-Moody groups, hovels and Littelmann paths. (English) Zbl 1161.22007 Ann. Inst. Fourier 58, No. 7, 2605-2657 (2008). Reviewer: Juan Núñez Valdés (Sevilla) MSC: 22E46 20G05 17B67 22E65 20E42 51E24 PDFBibTeX XMLCite \textit{S. Gaussent} and \textit{G. Rousseau}, Ann. Inst. Fourier 58, No. 7, 2605--2657 (2008; Zbl 1161.22007) Full Text: DOI arXiv Numdam EuDML
Xu, Xiaoping Path hypergeometric functions. (English) Zbl 1177.17019 J. Algebra Appl. 6, No. 4, 595-653 (2007). Reviewer: Valentina Golubeva (Moskva) MSC: 17B80 33C70 37K30 PDFBibTeX XMLCite \textit{X. Xu}, J. Algebra Appl. 6, No. 4, 595--653 (2007; Zbl 1177.17019) Full Text: DOI
Recknagel, Andreas From path representations to global morphisms for a class of minimal models. (English) Zbl 0957.81004 Commun. Math. Phys. 201, No. 2, 365-409 (1999). MSC: 81R10 81T40 17B68 81T05 PDFBibTeX XMLCite \textit{A. Recknagel}, Commun. Math. Phys. 201, No. 2, 365--409 (1999; Zbl 0957.81004) Full Text: DOI arXiv
Kaku, Michio Introduction to superstrings and M-theory. 2nd ed. (English) Zbl 0932.81025 Graduate Texts in Contemporary Physics. New York, NY: Springer. xvii, 587 p. (1999). Reviewer: Steven Duplij (Kharkov) MSC: 81T30 81-01 83E30 58-01 17B67 81T08 81S40 81R10 58D30 81T40 81T60 81T50 83C57 81T70 PDFBibTeX XMLCite \textit{M. Kaku}, Introduction to superstrings and M-theory. 2nd ed. New York, NY: Springer (1999; Zbl 0932.81025)
Ano, Noriaki Geometrical aspect of topologically twisted two-dimensional conformal superalgebra. (English) Zbl 0863.17023 J. Math. Phys. 37, No. 2, 880-894 (1996). MSC: 17B70 81T70 81R10 PDFBibTeX XMLCite \textit{N. Ano}, J. Math. Phys. 37, No. 2, 880--894 (1996; Zbl 0863.17023) Full Text: DOI arXiv
Arakawa, Tomoyuki; Nakanishi, Tomoki; Oshima, Kazuyuki; Tsuchiya, Akihiro Spectral decomposition of path space in solvable lattice model. (English) Zbl 0876.17034 Commun. Math. Phys. 181, No. 1, 157-182 (1996). MSC: 82B23 17B37 81R10 81T40 82B20 PDFBibTeX XMLCite \textit{T. Arakawa} et al., Commun. Math. Phys. 181, No. 1, 157--182 (1996; Zbl 0876.17034) Full Text: DOI arXiv
Hamada, Mitsuto; Kanno, Hiroaki; Ogura, Kazunori; Okamoto, Kiyosato; Togoshi, Yuichiro The fundamental representation of the affine Lie algebra \(A_{n-1}^{(1)}\) and the Feynman path integral. (English) Zbl 0874.17030 Hiroshima Math. J. 26, No. 1, 209-221 (1996). Reviewer: H.Yamada (Sapporo) MSC: 17B67 22E65 81R10 81S40 PDFBibTeX XMLCite \textit{M. Hamada} et al., Hiroshima Math. J. 26, No. 1, 209--221 (1996; Zbl 0874.17030)
Hashimoto, Takashi Construction of local one-parameter subgroups generated by the Virasoro operators via Feynman path integrals. (English) Zbl 0854.17031 J. Funct. Anal. 137, No. 1, 191-218 (1996). Reviewer: S.M.Ivashkovich (Villeneuve d’Ascq) MSC: 17B68 22E65 81S40 58D30 PDFBibTeX XMLCite \textit{T. Hashimoto}, J. Funct. Anal. 137, No. 1, 191--218 (1996; Zbl 0854.17031) Full Text: DOI
de Azcárraga, José A.; Izquierdo, José M. Lie groups, Lie algebras, cohomology and some applications in physics. (English) Zbl 0836.22027 Cambridge Monographs on Mathematical Physics. Cambridge: Cambridge Univ. Press. xvii, 455 p. (1995). Reviewer: A.A.Bogush (Minsk) MSC: 22E60 17B56 17B65 17B67 57T10 81R10 17B68 81T13 17-02 22-02 20J06 20J05 PDFBibTeX XMLCite \textit{J. A. de Azcárraga} and \textit{J. M. Izquierdo}, Lie groups, Lie algebras, cohomology and some applications in physics. Cambridge: Cambridge Univ. Press (1995; Zbl 0836.22027)
Kowata, Atsutaka (ed.) Representation theory of groups and analysis on homogeneous spaces. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, July 21-24, 1992. (Japanese, English) Zbl 0834.22001 RIMS Kôkyûroku. No. 816. Kyoto: Kyoto Univ., Research Inst. for Mathematical Sciences, ii, 174 p. (1992). MSC: 22-06 22Exx 00B25 17-06 PDFBibTeX XMLCite \textit{A. Kowata} (ed.), Representation theory of groups and analysis on homogeneous spaces. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, July 21-24, 1992 (Japanese). Kyoto: Kyoto Univ., Research Inst. for Mathematical Sciences (1992; Zbl 0834.22001)
Tsukada, Haruo Shifted vertex operator algebras and \(G\)-elliptic systems. (English) Zbl 0790.17014 J. Math. Phys. 33, No. 7, 2546-2556 (1992). Reviewer: P. Šťovíček (Praha) MSC: 17B69 81T30 81Q30 17B65 PDFBibTeX XMLCite \textit{H. Tsukada}, J. Math. Phys. 33, No. 7, 2546--2556 (1992; Zbl 0790.17014) Full Text: DOI
Ellinas, Demostheness Studies in Lie and quantum algebras. (English) Zbl 0721.17024 Commentat. Phys.-Math., Diss. 39, 11 p. (1990). Reviewer: V.Stukopin (Rostov-na-Donu) MSC: 17B81 81R50 81R10 81R05 17A70 17B37 PDFBibTeX XML
Date, E.; Jimbo, M.; Kuniba, A.; Miwa, T.; Okado, M. Path space realization of the basic representation of \(A^{(1)}_ n\). (English) Zbl 0744.17030 Infinite dimensional Lie algebras and groups, Proc. Conf., Marseille/Fr. 1988, Adv. Ser. Math. Phys. 7, 108-123 (1989). MSC: 17B67 82B23 81R50 37J35 37K10 82B20 17B37 PDFBibTeX XMLCite \textit{E. Date} et al., Adv. Ser. Math. Phys. 7, 108--123 (1989; Zbl 0744.17030)
Fradkin, Eduardo; Naón, Carlos M.; Schaposnik, Fidel A. Constrained Fermi systems and Virasoro algebras. (English) Zbl 0967.81502 Phys. Lett., B 200, No. 1-2, 95-97 (1988). MSC: 81R10 17B68 81T40 PDFBibTeX XMLCite \textit{E. Fradkin} et al., Phys. Lett., B 200, No. 1--2, 95--97 (1988; Zbl 0967.81502) Full Text: DOI