Results 41 to 50 of about 2,621 (128)

Algebraic Groups

open access: yes
The field of Linear Algebraic Groups is still a very active research area in contemporary mathematics. It has rich connections to algebraic geometry, representation theory, algebraic combinatorics, number theory, algebraic topology, and differential ...

core   +1 more source

On the Hodge conjecture for products of certain surfaces [PDF]

open access: yes, 2003
In this thesis we prove the Hodge conjecture for products of smooth projective surfaces S(_1) x S(_2), where S(_2) = A is an Abelian surface and S (_1) is such that P(_g)(S(_1)) = 1, q = 2.
J. Ramón Marí, José   +1 more
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Descent sets for symplectic groups

open access: yes, 2014
The descent set of an oscillating (or up-down) tableau is introduced. This descent set plays the same role in the representation theory of the symplectic groups as the descent set of a standard tableau plays in the representation theory of the general ...
Rubey, Martin   +2 more
core   +1 more source

Topics in computational group theory : primitive permutation groups and matrix group normalisers

open access: yes, 2012
Part I of this thesis presents methods for finding the primitive permutation groups of degree d, where 2500 ≤ d < 4096, using the O'Nan-Scott Theorem and Aschbacher's theorem. Tables of the groups G are given for each O'Nan-Scott class.
Coutts, Hannah Jane
core  

On Problems in the Representation Theory of Symmetric Groups

open access: yes, 2019
In this thesis, we study the representation theory of the symmetric groups $\mathfrak{S}_n$, their Sylow $p$-subgroups $P_n$ and related algebras.

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Topics in orbifold geometry and Gorenstein homogeneous spaces [PDF]

open access: yes
I study two problems from different domains. The first problem is related to orbifold geometry and the second to Gorenstein homogeneous spaces. Though two different topics, they share a common theme: the Gorenstein property.
Hayat, Umar, (Researcher in mathematics)
core  

On the structure of Foulkes modules for the symmetric group [PDF]

open access: yes, 2015
This thesis concerns the structure of Foulkes modules for the symmetric group. We study `ordinary' Foulkes modules $H^{(m^n)}$, where $m$ and $n$ are natural numbers, which are permutation modules arising from the action on cosets of $\mathfrak{S}_m\wr ...
de Boeck, Melanie
core  

Representation theory of finite groups through (basic) algebraic geometry

open access: yes
We introduce a new approach to representation theory of finite groups that uses some basic algebraic geometry and allows to do all the theory without using characters. With this approach, to any finite group $G$ we associate a finite number of points and
Arrondo, Enrique
core  

Invariants of automorphic lie algebras

open access: yes
Automorphic Lie Algebras arise in the context of reduction groups introduced in the late 1970s [35] in the field of integrable systems. They are subalgebras of Lie algebras over a ring of rational functions, denied by invariance under the action of a ...
Knibbeler, Vincent
core  

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