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Generators of the Hecke algebra of (S-2n, B-n)
Date
2012-12-01
Author
Aker, Kursat
Can, Mahir Bilen
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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In analogy with the set of Jucys-Murphy elements, a set of ring generators for the Hecke algebra of the Gel' fand pair (S-2n, B-n), where B-n is the hyperoctahedral subgroup of the symmetric group S-2n is constructed. Various consequences are presented, a conjecture of S. Matsumoto is proven. (c) 2012 Elsevier Inc. All rights reserved.
Subject Keywords
Hecke algebra
,
Farahat Higman ring
,
Jucys-Murphy elements
,
Symmetric pair (S-2n, B-n)
,
Cohomology of Hilbert scheme of points
URI
https://hdl.handle.net/11511/64530
Journal
ADVANCES IN MATHEMATICS
DOI
https://doi.org/10.1016/j.aim.2012.07.023
Collections
Department of Mathematics, Article
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K. Aker and M. B. Can, “Generators of the Hecke algebra of (S-2n, B-n),”
ADVANCES IN MATHEMATICS
, pp. 2465–2483, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64530.