Add to ORKGWe begin by presenting the crystal structure of finite-dimensional irreducible representations of the special linear Lie algebra in terms of Gelfand-Zeitlin patterns. We then define a crystal structure using the set of symplectic Zhelobenko patterns, parametrizing bases for finite-dimensional irreducible representations of sp4. This is obtained by a bijection with Kashiwara-Nakashima tableaux and the symplectic jeu de taquin of Sheats and Lecouvey. We offer some conjectures on the generalization of this structure to rank n as well as a bijection and crystal structure in certain special cases
In the first part of this thesis, we construct a type $A_{n-1}^{(1)}$ geometric crystal on the varie...
International audienceIntroduced by Kawanaka in order to find the unipotent representations of finit...
The theory of Siegel modular forms generalizes classical elliptic modular forms which is, in fact, t...
We begin by presenting the crystal structure of finite-dimensional irreducible representations of th...
Gelfand-Zetlin polytopes are important in the finite dimensional representation theory of SLn(C) and...
The problem of studying special bases in irreducible representations of Lie groups has already attra...
We study the combinatorial structure of the irreducible characters of the classical groups GLn(C), S...
The problem of studying special bases in irreducible representations of Lie groups has already attra...
AbstractIn an earlier work, we proved that MV polytopes parameterize both Lusztig's canonical basis ...
A new, so called odd Gel'fand-Zetlin basis is introduced for the irreducible covariant tensor repres...
A new, so called odd Gel'fand-Zetlin basis is introduced for the irreducible covariant tensor repres...
1.1. General construction. Recall: the finite-dimensional irreducible polynomial representations of ...
Galois orders, introduced in 2010 by V. Futorny and S. Ovsienko, form a class of associative algebra...
Using methods of homological algebra, we obtain an explicit crystal isomorphism between two realizat...
In the first part of this thesis, we construct a type $A_{n-1}^{(1)}$ geometric crystal on the varie...
In the first part of this thesis, we construct a type $A_{n-1}^{(1)}$ geometric crystal on the varie...
International audienceIntroduced by Kawanaka in order to find the unipotent representations of finit...
The theory of Siegel modular forms generalizes classical elliptic modular forms which is, in fact, t...
We begin by presenting the crystal structure of finite-dimensional irreducible representations of th...
Gelfand-Zetlin polytopes are important in the finite dimensional representation theory of SLn(C) and...
The problem of studying special bases in irreducible representations of Lie groups has already attra...
We study the combinatorial structure of the irreducible characters of the classical groups GLn(C), S...
The problem of studying special bases in irreducible representations of Lie groups has already attra...
AbstractIn an earlier work, we proved that MV polytopes parameterize both Lusztig's canonical basis ...
A new, so called odd Gel'fand-Zetlin basis is introduced for the irreducible covariant tensor repres...
A new, so called odd Gel'fand-Zetlin basis is introduced for the irreducible covariant tensor repres...
1.1. General construction. Recall: the finite-dimensional irreducible polynomial representations of ...
Galois orders, introduced in 2010 by V. Futorny and S. Ovsienko, form a class of associative algebra...
Using methods of homological algebra, we obtain an explicit crystal isomorphism between two realizat...
In the first part of this thesis, we construct a type $A_{n-1}^{(1)}$ geometric crystal on the varie...
In the first part of this thesis, we construct a type $A_{n-1}^{(1)}$ geometric crystal on the varie...
International audienceIntroduced by Kawanaka in order to find the unipotent representations of finit...
The theory of Siegel modular forms generalizes classical elliptic modular forms which is, in fact, t...