Polynomial identities with involution and the hyperoctahedral group

1987 ◽  
pp. 18-25
Author(s):  
A. Giambruno
Keyword(s):  
Polynomial Identities ◽  
Hyperoctahedral Group

On Polynomial Identities of Jordan Pairs of Rectangular Matrices

1997 ◽  
Vol 260 (1-3) ◽  
pp. 257-271 ◽  
Author(s):  
A Iltyakov
Keyword(s):  
Polynomial Identities

scholarly journals Polynomial identities related to special Schubert varieties

2021 ◽  
Author(s):  
Francesca Cioffi ◽  
Davide Franco ◽  
Carmine Sessa
Keyword(s):  
Arbitrary Number ◽  
Schubert Variety ◽  
Decomposition Theorem ◽  
Point Of View ◽  
Explicit Description ◽  
Intersection Cohomology ◽  
Schubert Varieties ◽  
Polynomial Identities ◽  
Poincaré Polynomial

AbstractLet $$\mathcal S$$ S be a single condition Schubert variety with an arbitrary number of strata. Recently, an explicit description of the summands involved in the decomposition theorem applied to such a variety has been obtained in a paper of the second author. Starting from this result, we provide an explicit description of the Poincaré polynomial of the intersection cohomology of $$\mathcal S$$ S by means of the Poincaré polynomials of its strata, obtaining interesting polynomial identities relating Poincaré polynomials of several Grassmannians, both by a local and by a global point of view. We also present a symbolic study of a particular case of these identities.

scholarly journals Induced Cycle Structures of the Hyperoctahedral Group

1993 ◽  
Vol 6 (3) ◽  
pp. 353-362 ◽  
Author(s):  
William Y. C. Chen
Keyword(s):  
Hyperoctahedral Group ◽  
Cycle Structures

scholarly journals Graded Polynomial Identities of the Jordan Superalgebra of a Bilinear Form

1996 ◽  
Vol 184 (1) ◽  
pp. 255-296 ◽  
Author(s):  
Sergei Yu. Vasilovsky
Keyword(s):  
Bilinear Form ◽  
Polynomial Identities ◽  
Jordan Superalgebra ◽  
Graded Polynomial Identities

scholarly journals Star-polynomial identities: Computing the exponential growth of the codimensions

2017 ◽  
Vol 469 ◽  
pp. 302-322 ◽  
Author(s):  
A. Giambruno ◽  
C. Polcino Milies ◽  
A. Valenti
Keyword(s):  
Exponential Growth ◽  
Polynomial Identities

scholarly journals Eulerian Polynomial Identities and Algebras Satisfying a Standard Identity

1994 ◽  
Vol 169 (3) ◽  
pp. 913-928 ◽  
Author(s):  
M. Domokos
Keyword(s):  
Polynomial Identities ◽  
Standard Identity ◽  
Eulerian Polynomial

scholarly journals A bijection which implies Melzer's polynomial identities: the? 1,1 (p,p+1) case

1996 ◽  
Vol 36 (2) ◽  
pp. 145-155 ◽  
Author(s):  
Omar Foda ◽  
S. Ole Warnaar
Keyword(s):  
Polynomial Identities

scholarly journals Rings with involution and polynomial identities

1969 ◽  
Vol 11 (2) ◽  
pp. 186-194 ◽  
Author(s):  
Wallace S Martindale
Keyword(s):  
Polynomial Identities ◽  
Rings With Involution

Algebras with polynomial identities

1999 ◽  
Vol 16 (9) ◽  
Author(s):  
Plamen Koshlukov
Keyword(s):  
Polynomial Identities
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