Results 21 to 30 of about 2,621 (128)

Degree bounds for separating invariants [PDF]

open access: yes, 2010
If V is a representation of a linear algebraic group G, a set S of G-invariant regular functions on V is called separating if the following holds: If two elements v,v' from V can be separated by an invariant function, then there is an f from S such that ...
Martin Kohls   +3 more
core  

Trace zero varieties in cryptography : optimal representation and index calculus [PDF]

open access: yes, 2014
The trace zero variety associated to an elliptic or hyperelliptic curve is an abelian variety defined over a finite field F_q. Its F_q-rational points yield a finite group, the trace zero subgroup of the degree zero Picard group of the original curve ...
Massierer, Maike
core   +1 more source

On tau functions associated with linear systems [PDF]

open access: yes, 2012
\noindent {\bf Abstract} This paper considers the Fredholm determinant $\det (I-\Gamma_x)$ of a Hankel integral operator on $L^2(0, \infty )$ with kernel $\phi (s+t+2x)$, where $\phi$ is a matrix scattering function.
Samantha L. Newsham   +3 more
core  

Algebraic Groups

open access: yes, 2013
Linear algebraic groups is an active research area in contemporary mathematics. It has rich connections to algebraic geometry, representation theory, algebraic combinatorics, number theory, algebraic topology, and differential equations.

core   +1 more source

Algebraic Groups

open access: yes, 2017
Linear algebraic groups is an active research area in contemporary mathematics. It has rich connections to algebraic geometry, representation theory, algebraic combinatorics, number theory, algebraic topology, and differential equations.

core   +1 more source

Irreducible subgroups of simple algebraic groups - a survey [PDF]

open access: yes, 2019
Let G be a simple linear algebraic group over an algebraically closed field K of characteristic p > 0, let H be a proper closed subgroup of G and let V be a nontrivial finite dimensional irreducible rational KG-module.
Burness, Tim   +4 more
core   +1 more source

No-cycle algebras and representation theory [PDF]

open access: yes
In the first half of this dissertation we study certain quotient algebras of preprojective algebras called no-cycle algebras N. These are studied via one-cycle algebras, which are introduced here.
Boddington, Paul
core  

Vector invariants for the two dimensional modular representation of a cyclic group of prime order [PDF]

open access: yes, 2010
In this paper, we study the vector invariants, F[mV_2]^(C_p), of the 2-dimensional indecomposable representation V_2 of the cylic group, C_p, of order p over a field F of characteristic p.
Campbell, Eddy   +5 more
core   +1 more source

The maximal subgroups of the classical groups in dimension 13, 14 and 15

open access: yes, 2015
One might easily argue that the Classification of Finite Simple Groups is one of the most important theorems of group theory. Given that any finite group can be deconstructed into its simple composition factors, it is of great importance to have a ...
Anna Katharina Schröder   +1 more
core  

Growth of generating sets for direct powers of classical algebraic structures

open access: yes, 2012
For an algebraic structure A denote by d(A) the smallest size of a generating set for A, and let d(A)=(d(A),d(A2),d(A3),…), where An denotes a direct power of A.
Ruskuc, Nik, Quick, Martyn
core   +1 more source

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