Corfield, David; Sati, Hisham; Schreiber, Urs Fundamental weight systems are quantum states. (English) Zbl 07773310 Lett. Math. Phys. 113, No. 6, Paper No. 112, 29 p. (2023). MSC: 81P16 20C30 20F65 81T30 PDFBibTeX XMLCite \textit{D. Corfield} et al., Lett. Math. Phys. 113, No. 6, Paper No. 112, 29 p. (2023; Zbl 07773310) Full Text: DOI arXiv
Cuenca, Cesar; Olshanski, Grigori Mackey-type identity for invariant functions on Lie algebras of finite unitary groups and an application. (English) Zbl 1526.22012 J. Lie Theory 33, No. 1, 149-168 (2023). Reviewer: Rongqing Ye (Louisville) MSC: 22E65 20C33 16T10 PDFBibTeX XMLCite \textit{C. Cuenca} and \textit{G. Olshanski}, J. Lie Theory 33, No. 1, 149--168 (2023; Zbl 1526.22012) Full Text: arXiv Link
Miller, Alexander Rossi The characters of symmetric groups that depend only on length. (English) Zbl 1516.20031 Math. Z. 304, No. 1, Paper No. 9, 14 p. (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20C30 PDFBibTeX XMLCite \textit{A. R. Miller}, Math. Z. 304, No. 1, Paper No. 9, 14 p. (2023; Zbl 1516.20031) Full Text: DOI arXiv
Koshida, Shinji Normalized characters of symmetric groups and Boolean cumulants via Khovanov’s Heisenberg category. (English) Zbl 1519.05253 J. Comb. Theory, Ser. A 196, Article ID 105735, 32 p. (2023). Reviewer: Omar Tout (Masqaṭ) MSC: 05E10 20C30 PDFBibTeX XMLCite \textit{S. Koshida}, J. Comb. Theory, Ser. A 196, Article ID 105735, 32 p. (2023; Zbl 1519.05253) Full Text: DOI arXiv
Wahl, Jonas Traces on diagram algebras. I: Free partition quantum groups, random lattice paths and random walks on trees. (English) Zbl 07730468 J. Lond. Math. Soc., II. Ser. 105, No. 4, 2324-2372 (2022). MSC: 46L67 20G42 05C81 05E10 PDFBibTeX XMLCite \textit{J. Wahl}, J. Lond. Math. Soc., II. Ser. 105, No. 4, 2324--2372 (2022; Zbl 07730468) Full Text: DOI arXiv
Campbell, Jacob; Köstler, Claus; Nica, Alexandru A central limit theorem for star-generators of \(S_\infty\), which relates to traceless CCR-GUE matrices. (English) Zbl 1507.46042 Int. J. Math. 33, No. 9, Article ID 2250065, 46 p. (2022). Reviewer: Adam Skalski (Warszawa) MSC: 46L53 05A18 20C32 PDFBibTeX XMLCite \textit{J. Campbell} et al., Int. J. Math. 33, No. 9, Article ID 2250065, 46 p. (2022; Zbl 1507.46042) Full Text: DOI arXiv
Wahl, Jonas Traces on diagram algebras. II: Centralizer algebras of easy groups and new variations of the Young graph. (English) Zbl 07555115 Algebr. Comb. 5, No. 3, 413-436 (2022). MSC: 20G42 05E10 05A18 PDFBibTeX XMLCite \textit{J. Wahl}, Algebr. Comb. 5, No. 3, 413--436 (2022; Zbl 07555115) Full Text: DOI arXiv
Bisi, Elia; Zygouras, Nikos Transition between characters of classical groups, decomposition of Gelfand-Tsetlin patterns and last passage percolation. (English) Zbl 1490.05270 Adv. Math. 404, Part B, Article ID 108453, 72 p. (2022). MSC: 05E05 60C05 60F05 05E10 82B23 20G05 20G20 PDFBibTeX XMLCite \textit{E. Bisi} and \textit{N. Zygouras}, Adv. Math. 404, Part B, Article ID 108453, 72 p. (2022; Zbl 1490.05270) Full Text: DOI arXiv
Cuenca, Cesar; Olshanski, Grigori Infinite-dimensional groups over finite fields and Hall-Littlewood symmetric functions. (English) Zbl 1480.05136 Adv. Math. 395, Article ID 108087, 58 p. (2022). MSC: 05E05 20C25 20C30 22D10 PDFBibTeX XMLCite \textit{C. Cuenca} and \textit{G. Olshanski}, Adv. Math. 395, Article ID 108087, 58 p. (2022; Zbl 1480.05136) Full Text: DOI arXiv
Pak, Igor Skew shape asymptotics, a case-based introduction. (English) Zbl 1491.05194 Sémin. Lothar. Comb. 84(2020-2022), Article B84a, 26 p. (2021). MSC: 05E10 05A19 20C30 PDFBibTeX XMLCite \textit{I. Pak}, Sémin. Lothar. Comb. 84, Article B84a, 26 p. (2021; Zbl 1491.05194) Full Text: Link
Sato, Ryosuke Inductive limits of compact quantum groups and their unitary representations. (English) Zbl 07423100 Lett. Math. Phys. 111, No. 5, Paper No. 122, 20 p. (2021). MSC: 20C15 17B37 46L65 PDFBibTeX XMLCite \textit{R. Sato}, Lett. Math. Phys. 111, No. 5, Paper No. 122, 20 p. (2021; Zbl 07423100) Full Text: DOI arXiv
Bufetov, Alexey; Korotkikh, Sergei Observables of stochastic colored vertex models and local relation. (English) Zbl 1486.82022 Commun. Math. Phys. 386, No. 3, 1881-1936 (2021). MSC: 82C20 82C22 82D60 60K35 20C08 PDFBibTeX XMLCite \textit{A. Bufetov} and \textit{S. Korotkikh}, Commun. Math. Phys. 386, No. 3, 1881--1936 (2021; Zbl 1486.82022) Full Text: DOI arXiv
Köstler, Claus; Nica, Alexandru A central limit theorem for star-generators of \({S}_{\infty }\), which relates to the law of a GUE matrix. (English) Zbl 1480.46081 J. Theor. Probab. 34, No. 3, 1248-1278 (2021). MSC: 46L54 60B20 05A05 20C32 PDFBibTeX XMLCite \textit{C. Köstler} and \textit{A. Nica}, J. Theor. Probab. 34, No. 3, 1248--1278 (2021; Zbl 1480.46081) Full Text: DOI arXiv
Neretin, Yury A. Groups \(\mathrm{GL}(\infty)\) over finite fields and multiplications of double cosets. (English) Zbl 1478.22015 J. Algebra 585, 370-421 (2021). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 22E66 20G05 20G40 PDFBibTeX XMLCite \textit{Y. A. Neretin}, J. Algebra 585, 370--421 (2021; Zbl 1478.22015) Full Text: DOI arXiv
Sato, Ryosuke Type classification of extreme quantized characters. (English) Zbl 1482.46088 Ergodic Theory Dyn. Syst. 41, No. 2, 593-605 (2021). MSC: 46L67 20G42 47L55 37A20 46L36 PDFBibTeX XMLCite \textit{R. Sato}, Ergodic Theory Dyn. Syst. 41, No. 2, 593--605 (2021; Zbl 1482.46088) Full Text: DOI arXiv
Vershik, A. M. Three theorems on the uniqueness of the Plancherel measure from different viewpoints. (English. Russian original) Zbl 1436.20020 Proc. Steklov Inst. Math. 305, 63-77 (2019); translation from Tr. Mat. Inst. Steklova 305, 71-85 (2019). Reviewer: George Stoica (Saint John) MSC: 20C32 05A16 30D15 20F50 PDFBibTeX XMLCite \textit{A. M. Vershik}, Proc. Steklov Inst. Math. 305, 63--77 (2019; Zbl 1436.20020); translation from Tr. Mat. Inst. Steklova 305, 71--85 (2019) Full Text: DOI arXiv
Dołęga, Maciej; Śniady, Piotr Gaussian fluctuations of Jack-deformed random Young diagrams. (English) Zbl 1411.05281 Probab. Theory Relat. Fields 174, No. 1-2, 133-176 (2019). MSC: 05E10 05E05 20C30 60K35 60B20 PDFBibTeX XMLCite \textit{M. Dołęga} and \textit{P. Śniady}, Probab. Theory Relat. Fields 174, No. 1--2, 133--176 (2019; Zbl 1411.05281) Full Text: DOI arXiv
He, Jimmy A power series identity and Bessel-type integrals over unitary groups. (English) Zbl 1409.81165 J. Math. Phys. 60, No. 2, 023506, 11 p. (2019). MSC: 81V05 20C35 49M27 43A85 58A35 19C09 PDFBibTeX XMLCite \textit{J. He}, J. Math. Phys. 60, No. 2, 023506, 11 p. (2019; Zbl 1409.81165) Full Text: DOI arXiv
Matveev, Konstantin Macdonald-positive specializations of the algebra of symmetric functions: proof of the Kerov conjecture. (English) Zbl 1404.05214 Ann. Math. (2) 189, No. 1, 277-316 (2019). Reviewer: Laura Colmenarejo Hernando (Leipzig) MSC: 05E05 05E10 20C32 PDFBibTeX XMLCite \textit{K. Matveev}, Ann. Math. (2) 189, No. 1, 277--316 (2019; Zbl 1404.05214) Full Text: DOI arXiv
Cuenca, Cesar Pieri integral formula and asymptotics of Jack unitary characters. (English) Zbl 1467.33016 Sel. Math., New Ser. 24, No. 3, 2737-2789 (2018). MSC: 33D52 33D90 20F69 PDFBibTeX XMLCite \textit{C. Cuenca}, Sel. Math., New Ser. 24, No. 3, 2737--2789 (2018; Zbl 1467.33016) Full Text: DOI arXiv
Panova, Greta; Śniady, Piotr Skew Howe duality and random rectangular Young tableaux. (English) Zbl 1391.05268 Algebr. Comb. 1, No. 1, 81-94 (2018). MSC: 05E10 22E46 20C30 60C05 PDFBibTeX XMLCite \textit{G. Panova} and \textit{P. Śniady}, Algebr. Comb. 1, No. 1, 81--94 (2018; Zbl 1391.05268) Full Text: DOI arXiv
Olshanski, Grigori Markov dynamics on the dual object to the infinite-dimensional unitary group. (English) Zbl 1388.60134 Sidoravicius, V. (ed.) et al., Probability and statistical physics in St. Petersburg. St. Petersburg School Probability and Statistical Physics, St. Petersburg State University, St. Petersburg, Russia, June 18–29, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2248-6/hbk; 978-1-4704-2883-9/ebook). Proceedings of Symposia in Pure Mathematics 91, 373-394 (2016). MSC: 60J25 22E66 60J27 20C32 PDFBibTeX XMLCite \textit{G. Olshanski}, Proc. Symp. Pure Math. 91, 373--394 (2016; Zbl 1388.60134) Full Text: arXiv
Bier, Agnieszka On lattices of closed subgroups in the group of infinite triangular matrices over a field. (English) Zbl 1336.20049 Linear Algebra Appl. 485, 132-152 (2015). Reviewer: L. N. Vaserstein (University Park) MSC: 20H20 20E07 20E15 PDFBibTeX XMLCite \textit{A. Bier}, Linear Algebra Appl. 485, 132--152 (2015; Zbl 1336.20049) Full Text: DOI
Gupta, Chander K.; Hołubowski, Waldemar Commutator subgroup of Vershik-Kerov group. II. (English) Zbl 1311.20047 Linear Algebra Appl. 471, 85-95 (2015). MSC: 20H25 20F14 20F12 PDFBibTeX XMLCite \textit{C. K. Gupta} and \textit{W. Hołubowski}, Linear Algebra Appl. 471, 85--95 (2015; Zbl 1311.20047) Full Text: DOI
Neretin, Yu. A. On an infinite-dimensional limit of the Steinberg representations. (English) Zbl 1337.20050 J. Math. Sci., New York 200, No. 6, 718-721 (2014) and Zap. Nauchn. Semin. POMI 421, 126-132 (2014). MSC: 20G05 20H30 PDFBibTeX XMLCite \textit{Yu. A. Neretin}, J. Math. Sci., New York 200, No. 6, 718--721 (2014; Zbl 1337.20050) Full Text: DOI arXiv
Hamaker, Zachary; Young, Benjamin Relating Edelman-Greene insertion to the Little map. (English) Zbl 1309.05007 J. Algebr. Comb. 40, No. 3, 693-710 (2014). Reviewer: Sangjib Kim (Seoul) MSC: 05A05 05A15 05E10 20F05 PDFBibTeX XMLCite \textit{Z. Hamaker} and \textit{B. Young}, J. Algebr. Comb. 40, No. 3, 693--710 (2014; Zbl 1309.05007) Full Text: DOI
Gorin, Vadim; Kerov, Sergei; Vershik, Anatoly Finite traces and representations of the group of infinite matrices over a finite field. (English) Zbl 1286.22004 Adv. Math. 254, 331-395 (2014). MSC: 22D10 22D25 20G40 PDFBibTeX XMLCite \textit{V. Gorin} et al., Adv. Math. 254, 331--395 (2014; Zbl 1286.22004) Full Text: DOI arXiv
Neretin, Yury A. The space \(L^2\) on semi-infinite Grassmannian over finite field. (English) Zbl 1317.14109 Adv. Math. 250, 320-350 (2014). Reviewer: Edwin León Cardenal (Zacatecas) MSC: 14M15 20C32 28D15 58B25 20G40 14G15 PDFBibTeX XMLCite \textit{Y. A. Neretin}, Adv. Math. 250, 320--350 (2014; Zbl 1317.14109) Full Text: DOI arXiv