[HTML][HTML] Compact Schur-Weyl duality and the Type B/C VW-algebra
K Calvert - Advances in Mathematics, 2022 - Elsevier
In this paper, we study a compact analogue of Schur-Weyl duality for real orthogonal and
symplectic groups. We analyse the functors F μ, k defined in [12], and introduce a new …
symplectic groups. We analyse the functors F μ, k defined in [12], and introduce a new …
[HTML][HTML] Duality for Ext-groups and extensions of discrete series for graded Hecke algebras
KY Chan - Advances in Mathematics, 2016 - Elsevier
In this paper, we study extensions of graded affine Hecke algebra modules. In particular,
based on an explicit projective resolution on graded affine Hecke algebra modules, we …
based on an explicit projective resolution on graded affine Hecke algebra modules, we …
Ladder representations of
D Barbasch, D Ciubotaru - Representations of Reductive Groups: In Honor …, 2015 - Springer
In this paper, we recover certain known results about the ladder representations of GL (n, ℚ
p) GL (n, Q _ p) defined and studied by Lapid, Mínguez, and Tadić. We work in the …
p) GL (n, Q _ p) defined and studied by Lapid, Mínguez, and Tadić. We work in the …
Unitary representations of cyclotomic Hecke algebras at roots of unity: combinatorial classification and BGG resolutions
C Bowman, E Norton, J Simental - … of the Institute of Mathematics of …, 2024 - cambridge.org
We relate the classes of unitary and calibrated representations of cyclotomic Hecke
algebras, and, in particular, we show that for the most important deformation parameters …
algebras, and, in particular, we show that for the most important deformation parameters …
Hermitian forms for affine Hecke algebras
D Barbasch, D Ciubotaru - arXiv preprint arXiv:1312.3316, 2013 - arxiv.org
arXiv:1312.3316v2 [math.RT] 18 Mar 2015 Page 1 arXiv:1312.3316v2 [math.RT] 18 Mar 2015
HERMITIAN FORMS FOR AFFINE HECKE ALGEBRAS DAN BARBASCH AND DAN …
HERMITIAN FORMS FOR AFFINE HECKE ALGEBRAS DAN BARBASCH AND DAN …
Some methods of computing first extensions between modules of graded Hecke algebras
KY Chan - Algebras and Representation Theory, 2018 - Springer
In this paper, we establish connections between the first extensions of simple modules and
certain filtrations of of standard modules in the setting of graded Hecke algebras. The …
certain filtrations of of standard modules in the setting of graded Hecke algebras. The …
On the Use of Index Theory to Compute the Signatures of Certain Hermitian Forms
C Du - 2022 - search.proquest.com
Let (π, V) be an irreducible finite-dimensional representation of a real reductive Lie group G.
We discuss the non-degenerate G-invariant hermitian form⟨·,·⟩ G on V. If dimV> 1, G is …
We discuss the non-degenerate G-invariant hermitian form⟨·,·⟩ G on V. If dimV> 1, G is …
Compact Schur-Weyl duality and the affine Type B/C Brauer algebra
K Calvert - arXiv preprint arXiv:1909.11428, 2019 - arxiv.org
We define an extension of the affine Brauer algebra, the type B/C affine Brauer algebra. This
new algebra contains the hyperoctahedral group and it naturally acts on $ END_K (X\otimes …
new algebra contains the hyperoctahedral group and it naturally acts on $ END_K (X\otimes …
[HTML][HTML] A vanishing theorem for Dirac cohomology of standard modules
KY Chan - Advances in Mathematics, 2018 - Elsevier
This paper studies the Dirac cohomology of standard modules in the setting of graded
Hecke algebras with geometric parameters. We prove that the Dirac cohomology of a …
Hecke algebras with geometric parameters. We prove that the Dirac cohomology of a …
[PDF][PDF] Variants of Schur-Weyl duality and Dirac cohomology
K Calvert - 2019 - ora.ox.ac.uk
This thesis is divided into the following three parts. Chapter 1: Realising the projective
representations of Sn We derive an explicit description of the genuine projective …
representations of Sn We derive an explicit description of the genuine projective …