Polynomial identities associated with dynamical symmetries

2008 ◽  
pp. 48-62
Author(s):  
Mircea Iosifescu ◽  
Horia Scutaru
Keyword(s):  
Polynomial Identities ◽  
Dynamical Symmetries

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 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 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
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