Polynomial representations of GLn(K): The Schur algebra

1980 ◽  
pp. 18-35 ◽  
Author(s):  
James A. Green
Keyword(s):  
Schur Algebra ◽  
Polynomial Representations

scholarly journals TOPOLOGICAL NOETHERIANITY FOR ALGEBRAIC REPRESENTATIONS OF INFINITE RANK CLASSICAL GROUPS

2021 ◽  
Author(s):  
R. H. EGGERMONT ◽  
A. SNOWDEN
Keyword(s):  
Classical Groups ◽  
Infinite Rank ◽  
Polynomial Representations ◽  
Algebraic Representations

AbstractDraisma recently proved that polynomial representations of GL∞ are topologically noetherian. We generalize this result to algebraic representations of infinite rank classical groups.

scholarly journals Partially APN functions with APN-like polynomial representations

2020 ◽  
Vol 88 (6) ◽  
pp. 1159-1177
Author(s):  
Lilya Budaghyan ◽  
Nikolay Kaleyski ◽  
Constanza Riera ◽  
Pantelimon Stănică
Keyword(s):  
Apn Functions ◽  
Polynomial Representations

scholarly journals HOMFLY-PT and Alexander polynomials from a doubled Schur algebra

2018 ◽  
Vol 9 (2) ◽  
pp. 323-347 ◽  
Author(s):  
Hoel Queffelec ◽  
Antonio Sartori
Keyword(s):  
Schur Algebra ◽  
Alexander Polynomials

scholarly journals A diagrammatic categorification of the affineq-Schur algebra S(n,n) forn≥ 3

2015 ◽  
Vol 278 (1) ◽  
pp. 201-233 ◽  
Author(s):  
Marco Mackaay ◽  
Anne-Laure Thiel
Keyword(s):  
Schur Algebra

scholarly journals Generator of PRN's on the norm group

2021 ◽  
Vol 25 (2(36)) ◽  
pp. 26-39
Author(s):  
P. Fugelo ◽  
S. Varbanets
Keyword(s):  
Prime Number ◽  
Quadratic Field ◽  
Exponential Sum ◽  
Random Numbers ◽  
Gaussian Integers ◽  
New Family ◽  
Serial Test ◽  
Polynomial Representations ◽  
Modulo P ◽  
Norm Group

Let $p$ be a prime number, $d\in\mathds{N}$, $\left(\frac{-d}{p}\right)=-1$, $m>2$, and let $E_m$ denotes the set of of residue classes modulo $p^m$ over the ring of Gaussian integers in imaginary quadratic field $\mathds{Q}(\sqrt{-d})$ with norms which are congruented with 1 modulo $p^m$. In present paper we establish the polynomial representations for real and imagimary parts of the powers of generating element $u+iv\sqrt{d}$ of the cyclic group $E_m$. These representations permit to deduce the ``rooted bounds'' for the exponential sum in Turan-Erd\"{o}s-Koksma inequality. The new family of the sequences of pseudo-random numbers that passes the serial test on pseudorandomness was being buit.

scholarly journals Polynomial representations of knots

1992 ◽  
Vol 44 (1) ◽  
pp. 11-17 ◽  
Author(s):  
Anant R. Shastri
Keyword(s):  
Polynomial Representations
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