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Journal article
Representation Theory of the Nonstandard Hecke Algebra
Algebras and representation theory, v 18(3), pp 585-612
2015
Abstract
The nonstandard Hecke algebra
ℋ
̌
r
was defined by Mulmuley and Sohoni to study the Kronecker problem. We study a quotient
ℋ
̌
r
,
2
of
ℋ
̌
r
, called the nonstandard Temperley–Lieb algebra, which is a subalgebra of the symmetric square of the Temperley–Lieb algebra TL
r
. We give a complete description of its irreducible representations. We find that the restriction of an irreducible
ℋ
̌
r
,
2
-module to
ℋ
̌
r
−
1
,
2
is multiplicity-free, and as a consequence, any irreducible
ℋ
̌
r
,
2
-module has a seminormal basis that is unique up to a diagonal transformation.
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1 citations in Scopus
Details
- Title
- Representation Theory of the Nonstandard Hecke Algebra
- Creators
- Jonah Blasiak - Drexel University
- Publication Details
- Algebras and representation theory, v 18(3), pp 585-612
- Publisher
- Springer Netherlands
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000356541100001
- Scopus ID
- 2-s2.0-84931573459
- Other Identifier
- 991019168183904721
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- Web of Science research areas
- Mathematics