Found 58 Documents (Results 1–58)
Unitary representations of cyclotomic Hecke algebras at roots of unity: combinatorial classification and BGG resolutions. (English) Zbl 1535.20025
Reviewer: Enrico Jabara (Venezia)
External vertices for crystals of affine type A. (English) Zbl 1542.17021
Reviewer: Hu Jun (Beijing)
Schurian-finiteness of blocks of type \(A\) Hecke algebras. (English) Zbl 1535.20024
Reviewer: Hu Jun (Beijing)
Mullineux involution and crystal isomorphisms. (English) Zbl 1535.20030
Reviewer: Hu Jun (Beijing)
Using a \(q\)-shuffle algebra to describe the basic module \(V(\Lambda_0)\) for the quantized enveloping algebra \(U_q(\widehat{\mathfrak{sl}}_2)\). (English) Zbl 1532.17022
A generating function associated with the alternating elements in the positive part of \(U_q (\widehat{\mathfrak{sl}}_2)\). (English) Zbl 1522.17024
Reviewer: Sonia Natale (Córdoba)
The many integral graded cellular bases of Hecke algebras of complex reflection groups. (English) Zbl 1512.20011
On the Mackey formulas for cyclotomic Hecke algebras and categories \(\mathcal{O}\) of rational Cherednik algebras. (English) Zbl 1535.20032
Two maps on affine type \(A\) crystals and Hecke algebras. (English) Zbl 1475.20009
Reviewer: Hideya Watanabe (Kyoto)
Kleshchev multipartitions and extended Young diagrams. (English) Zbl 1414.20004
Reviewer: Hu Jun (Beijing)
Blocks of symmetric groups, semicuspidal KLR algebras and zigzag Schur-Weyl duality. (English) Zbl 1435.20010
Representation type for block algebras of Hecke algebras of classical type. (English) Zbl 1368.05155
Rational Cherednik algebras and categorification. (English) Zbl 1367.16013
Beliakova, Anna (ed.) et al., Categorification and higher representation theory. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2460-2/pbk; 978-1-4704-3689-6/ebook). Contemporary Mathematics 683, 1-40 (2017).
Reviewer: Mirela Ştefănescu (Bucureşti)
On quantized decomposition maps for graded algebras. (English) Zbl 1376.20003
Reviewer: Wei Feng (Beijing)
Graded decomposition numbers of Ariki-Koike algebras for blocks of small weight. (English) Zbl 1344.20006
Reviewer: Hu Jun (Beijing)
Crystal isomorphisms in Fock spaces and Schensted correspondence in affine type \(A\). (English) Zbl 1332.05149
The mirabolic Hecke algebra. (English) Zbl 1310.20007
Reviewer: Hu Jun (Beijing)
Smooth representations modulo \(\ell\) of \(\mathrm{GL}_m(D)\). (Représentations lisses modulo \(\ell\) de \(\mathrm{GL}_m(D)\).) (English) Zbl 1293.22005
Reviewer: L. N. Vaserstein (University Park)
MSC:
22E50
Modular representations, old and new. (English) Zbl 1251.20016
Narasimha Sastry, N. S. (ed.), Buildings, finite geometries and groups. Proceedings of a satellite conference of the international congress of mathematicians (ICM), Hyderabad, India, 2010, held in Bangalore, India, August 29–31, 2010. Berlin: Springer (ISBN 978-1-4614-0708-9/hbk; 978-1-4614-0709-6/ebook). Springer Proceedings in Mathematics 10, 287-304 (2012).
Crystals from categorified quantum groups. (English) Zbl 1246.17017
Reviewer: Gastón Andrés García (Córdoba)
The modular branching rule for affine Hecke algebras of type \(A\). (English) Zbl 1243.20003
Reviewer: Leonard Jones (Shippensburg)
On cellular algebras with Jucys Murphy elements. (English) Zbl 1251.20007
Reviewer: Hu Jun (Beijing)
On a generalisation of the Dipper-James-Murphy conjecture. (English) Zbl 1227.05057
Reviewer: Zoltán Kása (Cluj-Napoca)
MSC:
05A17
Crystal isomorphisms for irreducible highest weight \(\mathcal{U}_{v}(\widehat{\mathfrak{sl}}_{e})\)-modules of higher level. (English) Zbl 1268.17017
Representation theory of symmetric groups and related Hecke algebras. (English) Zbl 1220.20008
Reviewer: Hu Jun (Beijing)
Commuting families in Hecke and Temperley-Lieb algebras. (English) Zbl 1217.20002
Reviewer: Volodymyr Mazorchuk (Uppsala)
Cellularity of cyclotomic Birman-Wenzl-Murakami algebras. (English) Zbl 1177.37084
Reviewer: Georgy Osipenko (St. Peterburg)
MSC:
37M25
Crystal graphs of irreducible \(\mathcal{U}_v (\widehat{\mathfrak{sl}}_e)\)-modules of level two and Uglov bipartitions. (English) Zbl 1140.17011
Reviewer: Justyna Kosakowska (Toruń)
Crystal graphs of higher level \(q\)-deformed Fock spaces, Lusztig \(a\)-values and Ariki-Koike algebras. (English) Zbl 1192.17007
Spin Hecke algebras of finite and affine types. (English) Zbl 1139.20004
Reviewer: Hu Jun (Beijing)
Canonical basic sets in type \(B_n\). (English) Zbl 1116.20005
Reviewer: Hu Jun (Beijing)
An algorithm for the computation of the decomposition matrices for Ariki-Koike algebras. (English) Zbl 1104.20017
On the modular representations of Hecke algebras of type \(D_n\). (Sur les représentations modulaires des algèbres de Hecke de type \(D_n\).) (French) Zbl 1127.20003
Some new examples in 1-cohomology. (English) Zbl 1019.20020
Reviewer: Wilberd van der Kallen (Utrecht)
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