Canonical Bases for Irreducible Representations of Quantum Gl N
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Publication:4024859
DOI10.1112/blms/24.4.325zbMath0770.17005OpenAlexW2061657035MaRDI QIDQ4024859
Publication date: 18 February 1993
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/blms/24.4.325
Related Items (20)
Relations between the Clausen and Kazhdan-Lusztig representations of the symmetric group. ⋮ Dual canonical bases and Kazhdan-Lusztig polynomials ⋮ Cyclic sieving and plethysm coefficients ⋮ Hecke algebras at roots of unity and crystal bases of quantum affine algebras ⋮ Cyclic Demazure modules and positroid varieties ⋮ Canonical bases for modified quantum \(\mathfrak{gl}_n\) and \(q\)-Schur algebras ⋮ Linear quivers and the geometric setting of quantum \(\mathrm{GL}_n\). ⋮ \(k\)-positivity of dual canonical basis elements from 1324- and 2143-avoiding Kazhdan-Lusztig immanants ⋮ Quantum affine algebras and Grassmannians ⋮ Cyclic sieving for plane partitions and symmetry ⋮ Bitableaux and zero sets of dual canonical basis elements ⋮ Restriction of global bases and Rhoades's theorem ⋮ On the dual canonical and Kazhdan-Lusztig bases and 3412-, 4231-avoiding permutations ⋮ Cyclic sieving, promotion, and representation theory ⋮ Kazhdan–Lusztig immanants and products of matrix minors, II ⋮ Gelfand–Tsetlin Bases for Classical Lie Algebras ⋮ Global IC bases for quantum linear groups ⋮ Quantum \(\mathfrak{gl}_\infty\), infinite \(q\)-Schur algebras and their representations ⋮ Based algebras and standard bases for quasi-hereditary algebras ⋮ Minuscule Doppelgängers, The Coincidental down-Degree Expectations Property, and Rowmotion
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