Found 251 Documents (Results 1–100)
Schur-Weyl dualities for shifted quantum affine algebras and Ariki-Koike algebras. (English) Zbl 07873711
Rational Schur superalgebras. (English) Zbl 07855906
MSC:
17B10
Bounds for the dimension of the Schur multiplier of finite dimensional nilpotent Lie algebras. (English) Zbl 1533.17012
Reviewer: Francesco G. Russo (Rondebosch)
Generalized Schur-Weyl dualities for quantum affine symmetric pairs and orientifold KLR algebras. (English) Zbl 1537.81114
Defining an affine partition algebra. (English) Zbl 07787995
Reviewer: Mark Wildon (Egham)
Quantum immanants, double Young-Capelli bitableaux and Schur shifted symmetric functions. (English) Zbl 07768528
Reviewer: Mee Seong Im (Annapolis)
Regular representations of quantum supergroups \(U_{\upsilon}(\mathfrak{g} \mathfrak{l}_{m|n})\) and \(U_{\upsilon}(\mathfrak{q}_{n})\). (English) Zbl 1527.17009
Du, Jie (ed.) et al., Forty years of algebraic groups, algebraic geometry, and representation theory in China. In memory of the centenary year of Xihua Cao’s birth. East China Normal University Scientific Reports 16. Subseries of Symposia and Topic Studies. Singapore: World Scientific. 179-211 (2023).
Reviewer: Egle Bettio (Venezia)
Symmetric Fibonaccian distributive lattices and representations of the special linear Lie algebras. (English) Zbl 1518.05208
Characterizing nilpotent Lie algebras that satisfy the converse to the Schur theorem. (English) Zbl 1535.17017
Reviewer: Ernest L. Stitzinger (Raleigh)
Polynomial tau-functions of the orthogonal KP, multicomponent orthogonal KP and BUC hierarchies. (English) Zbl 1522.37079
Donkin-Koppinen filtration for \(\mathrm{GL}(m|n)\) and generalized Schur superalgebras. (English) Zbl 1516.20112
Reviewer: Dmitry Artamonov (Moskva)
Cells in modified \(\imath\)quantum groups of type AIII and related Schur algebras. (English) Zbl 1530.17013
Reviewer: Sorin Dascalescu (Bucureşti)
Multiplication formulas and isomorphism theorem of \({\imath}\)Schur superalgebras. (English) Zbl 1528.20091
Reviewer: Ruslan Maksimau (Paris)
The capability and certain functors of some nilpotent Lie algebras of class two. (English) Zbl 1521.17022
Generalised Howe duality and injectivity of induction: the symplectic case. (English) Zbl 1506.17010
Reviewer: Mee Seong Im (Annapolis)
The classification of nilpotent Lie algebras \(L\) when dim\(\mathcal{M} (L) =\) dim\(L^2 = n-2\). (English) Zbl 07614066
\(Q\)-Schur algebras corresponding to Hecke algebras of type B. (English) Zbl 1504.20011
Reviewer: Mee Seong Im (Annapolis)
Polynomial tau functions of symplectic KP and multi-component symplectic KP hierarchies. (English) Zbl 1511.37078
Reviewer: Nenad Manojlović (Faro)
Compact Schur-Weyl duality and the type B/C VW-algebra. (English) Zbl 1510.17012
Reviewer: Balasubramanian Sury (Bangalore)
Compact Schur-Weyl duality: real Lie groups and the cyclotomic Brauer algebra. (English) Zbl 1520.17012
Gelfand-Tsetlin-type weight bases for all special linear Lie algebra representations corresponding to skew Schur functions. (English) Zbl 1520.17014
Polynomial tau-functions for the multicomponent KP hierarchy. (English) Zbl 1483.14085
Reviewer: Ahmed Lesfari (El Jadida)
On characterizing nilpotent Lie algebra by their multiplier, \(s(L) = 6, 7\). (English) Zbl 1515.17027
Reviewer: Ernest L. Stitzinger (Raleigh)
The Bogomolov multiplier of Lie superalgebras. arXiv:2211.06938
Preprint, arXiv:2211.06938 [math.RA] (2022).
On split quasi-hereditary covers and Ringel duality. arXiv:2210.09344
Preprint, arXiv:2210.09344 [math.RT] (2022).
Computing multiplicities in the sign trace cocharacters of \(M_{2,1}(F)\). (English) Zbl 1486.16027
Di Vincenzo, Onofrio Mario (ed.) et al., Polynomial identities in algebras. Proceedings of the INDAM workshop, Roma, Italy, September 16–20, 2019. Cham: Springer. Springer INdAM Ser. 44, 97-108 (2021).
Hurwitz numbers from matrix integrals over Gaussian measure. (English) Zbl 1470.05018
Novikov, Sergey (ed.) et al., Integrability, quantization, and geometry I. Integrable systems. Dedicated to the memory of Boris Dubrovin 1950–2019. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 103, Part 1, 337-375 (2021).
Affine Schur duality. (English) Zbl 1482.17054
Classification of finite dimensional nilpotent Lie superalgebras by their multipliers. (English) Zbl 1492.17013
Reviewer: Jean-Claude Ndogmo (Thohoyandou)
2D Yang-Mills theory and tau functions. (English) Zbl 1481.37077
Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 – July 6, 2019. Cham: Birkhäuser. Trends Math., 221-250 (2020).
Reviewer: Ahmed Lesfari (El Jadida)
Nilpotent Lie algebras having the Schur multiplier of maximum dimension. (English) Zbl 1487.17021
Reviewer: Ernest L. Stitzinger (Raleigh)
Cover and irreducible relative central extension of a pair of Lie algebras. (English) Zbl 1463.17020
Some upper bounds for the dimension of the \(c\)-nilpotent multiplier of a pair of Lie algebras. (English) Zbl 1463.17017
Even-primitive vectors in induced supermodules for general linear supergroups and in costandard supermodules for Schur superalgebras. (English) Zbl 1528.20084
Certain functors of nilpotent Lie algebras with the derived subalgebra of dimension two. (English) Zbl 1485.17023
The affine VW supercategory. (English) Zbl 1455.18010
Reviewer: Estanislao Herscovich (Gières)
Quantum queer supergroups via v-differential operators. arXiv:2010.16002
Preprint, arXiv:2010.16002 [math.QA] (2020).
Polynomial representations of \(\mathrm{GL}(m|n)\). (English) Zbl 1496.17017
Reviewer: Mark Wildon (Egham)
Structure and representations of the quantum loop algebra of \(\mathfrak{gl}_n\). (English) Zbl 1473.17036
Ji, Lizhen (ed.) et al., Proceedings of the seventh international congress of Chinese mathematicians, ICCM 2016, Beijing, China, August 2016. Volume II. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 44, 5-31 (2019).
Decomposition of the nonabelian tensor product of Lie algebras via the diagonal ideal. (English) Zbl 1435.17017
Some results on the Schur multipliers of nilpotent Lie algebra. (English) Zbl 1435.17016
Reviewer: Ernest L. Stitzinger (Raleigh)
Presentations of categories of modules using the Cautis-Kamnitzer-Morrison principle. (English) Zbl 1516.17008
The BLM realization for the integral form of \(U_v(\mathfrak{gl}_{m\mid n})\). (English) Zbl 1473.17035
Mixed quantum skew Howe duality and link invariants of type \(A\). (English) Zbl 1469.57013
Reviewer: Volodymyr Mazorchuk (Uppsala)
Capable Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field. (English) Zbl 1472.17045
Flag varieties. An interplay of geometry, combinatorics, and representation theory. 2nd edition. (English) Zbl 1416.14001
Texts and Readings in Mathematics 53. Singapore: Springer; New Delhi: Hindustan Book Agency (ISBN 978-93-86279-70-5/hbk; 978-981-13-1393-6/ebook). xv, 312 p. (2018).
Drinfeld-Sokolov hierarchies, tau functions, and generalized Schur polynomials. (English) Zbl 1408.37124
Schur \(Q\)-functions and the Capelli eigenvalue problem for the Lie superalgebra \(\mathfrak q(n)\). (English) Zbl 1452.17010
Christensen, Jens Gerlach (ed.) et al., Representation theory and harmonic analysis on symmetric spaces. AMS special session on harmonic analysis, in honor of Gestur Ólafsson’s 65th birthday, Atlanta, GA, USA, January 4, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 714, 1-21 (2018).
Classification of pair of nilpotent Lie algebras by their Schur multipliers. (English) Zbl 1413.17014
Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions. (English) Zbl 1401.14209
Reviewer: Ahmed Lesfari (El Jadida)
The structure, capability and the Schur multiplier of generalized Heisenberg Lie algebras. (English) Zbl 1428.17010
Reviewer: Ernest L. Stitzinger (Raleigh)
On Schur superfunctors. (English) Zbl 1485.20124
Description of costandard modules for Schur superalgebra \(S(2 | 2)\) in positive characteristic. (English) Zbl 1394.17009
On the numerical characteristics of the factors of the central series and their relationships in some algebraic structures. (Russian. English summary) Zbl 1390.20037
Real forms of strange Lie superalgebras and the Frobenius-Schur method. (English) Zbl 1386.17013
MSC:
17B20
In the bocs seat: Quasi-hereditary algebras and representation type. (English) Zbl 1380.16008
Krause, Henning (ed.) et al., Representation theory – Current trends and perspectives. In part based on talks given at the last joint meeting of the priority program in Bad Honnef, Germany, in March 2015. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-171-2/hbk; 978-3-03719-671-7/ebook). EMS Series of Congress Reports, 375-426 (2017).
Universal central extensions of Leibniz superalgebras over superdialgebras. (English) Zbl 1402.17004
Categorifications of the extended affine Hecke algebra and the affine \(q\)-Schur algebra \(\widehat {\mathbf S} (n,r)\) for \(3 \leq r < n\). (English) Zbl 1402.20060
Reviewer: Hu Jun (Beijing)
Representations of \(q\)-Schur superalgebras in positive characteristics. (English) Zbl 1362.20036
Reviewer: Vyacheslav A. Artamonov (Moskva)
The first fundamental theorem of invariant theory for the orthosymplectic supergroup. (English) Zbl 1360.22027
Reviewer: Volodymyr Mazorchuk (Uppsala)
Some upper bounds on the dimension of the Schur multiplier of a pair of nilpotent Lie algebras. (English) Zbl 1424.17017
On characterizing pairs of non-abelian nilpotent and filiform Lie algebras by their Schur multipliers. (English) Zbl 1459.17023
On the relationships between the factors of upper and lower central series in groups and other algebraic structures. (English) Zbl 1395.20019
Schur-Weyl duality for the Brauer algebra and the ortho-symplectic Lie superalgebra. (English) Zbl 1393.17017
Reviewer: Angelo Bianchi (São José dos Campos)
Brion’s theorem for Gelfand-Tsetlin polytopes. (English. Russian original) Zbl 1391.17007
Funct. Anal. Appl. 50, No. 2, 98-106 (2016); translation from Funkts. Anal. Prilozh. 50, No. 2, 20-30 (2016).
On the capability and Schur multiplier of nilpotent Lie algebra of class two. (English) Zbl 1383.17007
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