The notion of a Weyl module, previously defined for the untwisted affine algebras, is extended here to the twisted affine algebras. We describe an identification of the Weyl modules for the twisted affine algebras with suitably chosen Weyl modules for the untwisted affine algebras. This identification allows us to use known results in the untwisted case to compute the dimensions and characters of the Weyl modules for the twisted algebras
This thesis is about extended affine Lie algebras and extended affine Weyl groups. In Chapter I, we...
We introduce a new family of twisted generalized Weyl algebras, called multiparameter twisted Weyl a...
We introduce a new family of twisted generalized Weyl algebras, called multiparameter twisted Weyl a...
The notion of a Weyl module, previously defined for the untwisted affine algebras, is extended here ...
Abstract The notion of a Weyl module, previously defined for the untwisted affine algebras, is exten...
We investigate the category of finite-dimensional representations of twisted hyper-loop algebras, i....
We study finite-dimensional respresentations of twisted current algebras and show that any graded tw...
AbstractSuppose a finite group Γ acts on a scheme X and a finite-dimensional Lie algebra g. The asso...
A family of modules called global Weyl modules has recently been defined over generalized loop algeb...
We define global Weyl modules for twisted loop algebras and analyze their highest weight spaces, whi...
We construct Wakimoto modules for twisted affine Lie algebras, and interpret the construction in ter...
The representation theory of (twisted) loop and current algebras has gained a lot of attraction duri...
AbstractWe construct a Poincaré–Birkhoff–Witt type basis for the Weyl modules [V. Chari, A. Pressley...
AbstractWe construct irreducible modules for twisted toroidal Lie algebras and extended affine Lie a...
This thesis is about extended affine Lie algebras and extended affine Weyl groups. In Chapter I, we...
This thesis is about extended affine Lie algebras and extended affine Weyl groups. In Chapter I, we...
We introduce a new family of twisted generalized Weyl algebras, called multiparameter twisted Weyl a...
We introduce a new family of twisted generalized Weyl algebras, called multiparameter twisted Weyl a...
The notion of a Weyl module, previously defined for the untwisted affine algebras, is extended here ...
Abstract The notion of a Weyl module, previously defined for the untwisted affine algebras, is exten...
We investigate the category of finite-dimensional representations of twisted hyper-loop algebras, i....
We study finite-dimensional respresentations of twisted current algebras and show that any graded tw...
AbstractSuppose a finite group Γ acts on a scheme X and a finite-dimensional Lie algebra g. The asso...
A family of modules called global Weyl modules has recently been defined over generalized loop algeb...
We define global Weyl modules for twisted loop algebras and analyze their highest weight spaces, whi...
We construct Wakimoto modules for twisted affine Lie algebras, and interpret the construction in ter...
The representation theory of (twisted) loop and current algebras has gained a lot of attraction duri...
AbstractWe construct a Poincaré–Birkhoff–Witt type basis for the Weyl modules [V. Chari, A. Pressley...
AbstractWe construct irreducible modules for twisted toroidal Lie algebras and extended affine Lie a...
This thesis is about extended affine Lie algebras and extended affine Weyl groups. In Chapter I, we...
This thesis is about extended affine Lie algebras and extended affine Weyl groups. In Chapter I, we...
We introduce a new family of twisted generalized Weyl algebras, called multiparameter twisted Weyl a...
We introduce a new family of twisted generalized Weyl algebras, called multiparameter twisted Weyl a...