scholarly journals A modified Brauer algebra as centralizer algebra of the unitary group

2004 ◽  
Vol 356 (10) ◽  
pp. 3963-3983 ◽  
Author(s):  
Alberto Elduque
Keyword(s):  
Unitary Group ◽  
Brauer Algebra ◽  
Centralizer Algebra

scholarly journals Brauer algebras of type C are cellularly stratified

2012 ◽  
Vol 153 (1) ◽  
pp. 1-7 ◽  
Author(s):  
C. Bowman
Keyword(s):  
Brauer Algebra ◽  
Decomposition Numbers ◽  
Type C ◽  
Brauer Algebras

AbstractIn a recent paper Cohen, Liu and Yu introduce the Brauer algebra of type C. We show that this algebra is an iterated inflation of hyperoctahedral groups, and that it is cellularly stratified. This allows us to give an indexing set of the standard modules, results on decomposition numbers, and the conditions under which the algebra is quasi-hereditary.

scholarly journals PAIR CORRELATOR IN THE ITZYKSON-ZUBER INTEGRAL

1992 ◽  
Vol 07 (37) ◽  
pp. 3503-3507 ◽  
Author(s):  
A. MOROZOV
Keyword(s):  
Explicit Expression ◽  
Unitary Group ◽  
Pair Correlator

An explicit expression is suggested for the average [Formula: see text] over the unitary group SU (N) with the Itzykson-Zuber measure [dU] exp tr ΦUΨU†.

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