On a symplectic quantum Howe duality

被引：0
作者：
Bodish, Elijah [1 ]
Tubbenhauer, Daniel [2 ]
机构：
[1] MIT, Dept Math, Bldg 2,Off 2-178, Cambridge, MA 02139 USA
[2] Univ Sydney, Sch Math & Stat, F07,Off Carslaw 827, Sydney, NSW 2006, Australia
来源：
MATHEMATISCHE ZEITSCHRIFT | 2025年 / 309卷 / 04期
关键词：
Quantum Howe duality; Tilting modules; Weyl characters; Canonical bases; Symplectic groups; TILTING MODULES; REPRESENTATIONS; FILTRATIONS; ALGEBRAS; FORMULAS; ANALOG; ROOTS; WEBS;
D O I：
10.1007/s00209-025-03680-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a nonsemisimple quantum version of Howe's duality with the rank 2n symplectic and the rank 2 special linear group acting on the exterior algebra of type C. We also discuss the first steps towards the symplectic analog of harmonic analysis on quantum spheres, give character formulas for various fundamental modules, and construct canonical bases of the exterior algebra.
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页数：59
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