Idempotents for Birman–Murakami–Wenzl algebras and reflection equation

Authors :: Isaev, A.
Molev, A.
Ogievetsky, O.
School of Mathematics and statistics [Sydney]
The University of Sydney
Centre de Physique Théorique - UMR 7332 (CPT)
Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Ogievetsky, Oleg
Source :: Advances in Theoretical and Mathematical Physics, Advances in Theoretical and Mathematical Physics, International Press, 2014, pp.25, Advances in Theoretical and Mathematical Physics, 2014, pp.25, Adv. Theor. Math. Phys. 18, no. 1 (2014), 1-25
Publication Year :: 2014
Publisher :: HAL CCSD, 2014.
Abstract: A complete system of pairwise orthogonal minimal idempotents for Birman-Murakami-Wenzl algebras is obtained by a consecutive evaluation of a rational function in several variables on sequences of quantum contents of up-down tableaux. A by-product of the construction is a one-parameter family of fusion procedures for Hecke algebras. Classical limits to two different fusion procedures for Brauer algebras are described.

Subjects :: [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT]
Mathematics::Quantum Algebra
[MATH.MATH-RT] Mathematics [math]/Representation Theory [math.RT]
Mathematics::Representation Theory
Mathematics::Geometric Topology
ComputingMilieux_MISCELLANEOUS

Language :: English
ISSN :: 10950761
Database :: OpenAIRE
Journal :: Advances in Theoretical and Mathematical Physics, Advances in Theoretical and Mathematical Physics, International Press, 2014, pp.25, Advances in Theoretical and Mathematical Physics, 2014, pp.25, Adv. Theor. Math. Phys. 18, no. 1 (2014), 1-25
Accession number :: edsair.dedup.wf.001..366af5d2915c98e93ec508a6ee068a36

Tools