Angelo Bianchi
Research Subjects
Angelo Bianchi has a total of 4 co-authors. Here are the top co-authors by number of shared publications:
- Adriano Moura
Departamento de Matemática, Universidade Estadual de Campinas, Campinas, Brazil
3 shared publications - Vyjayanthi Chari
University of California
2 shared publications - Ghislain Fourier
Mathematisches Institut, Universität zu Köln, Köln, Germany
1 shared publication - Ghislain Fourier
Mathematisches Institut Universität zu Köln Germany
1 shared publication
Latest Publications
- 13 March 2013
- Published by Springer Nature in Algebras and Representation Theory
- Vol. 17 (2) , 519-538
On Multigraded Generalizations of Kirillov–Reshetikhin Modules
- 13 March 2013
- Published by Springer Nature in Algebras and Representation Theory
- Vol. 17 (2) , 519-538
On Multigraded Generalizations of Kirillov–Reshetikhin Modules
- Open Access
On multigraded generalizations of Kirillov-Reshetikhin modules
We study the category of Z^l-graded modules with finite-dimensional graded pieces for certain Z+^l-graded Lie algebras. We also consider certain Serre subcategories with finitely many isomorphism classes of simple objects. We construct projective resolutions for the simple modules in these categories and compute the Ext groups between simple modules. We show that the projective covers of the simple modules in these Serre subcategories can be regarded as multigraded generalizations of Kirillov-Reshetikhin modules and give a recursive formula for computing their graded characters.
Open AccessOn multigraded generalizations of Kirillov-Reshetikhin modules
We study the category of Z^l-graded modules with finite-dimensional graded pieces for certain Z+^l-graded Lie algebras. We also consider certain Serre subcategories with finitely many isomorphism classes of simple objects. We construct projective resolutions for the simple modules in these categories and compute the Ext groups between simple modules. We show that the projective covers of the simple modules in these Serre subcategories can be regarded as multigraded generalizations of Kirillov-Reshetikhin modules and give a recursive formula for computing their graded characters.
- Open Access
Finite-dimensional representations of twisted hyper loop algebras
We investigate the category of finite-dimensional representations of twisted hyper loop algebras, i.e., the hyperalgebras associated to twisted loop algebras over finite-dimensional simple Lie algebras. The main results are the classification of the irreducible modules, the definition of the universal highest-weight modules, called the Weyl modules, and, under a certain mild restriction on the characteristic of the ground field, a proof that the simple modules and the Weyl modules for the twisted hyper loop algebras are isomorphic to appropriate simple and Weyl modules for the non-twisted hyper loop algebras, respectively, via restriction of the action.
Open AccessFinite-dimensional representations of twisted hyper loop algebras
We investigate the category of finite-dimensional representations of twisted hyper loop algebras, i.e., the hyperalgebras associated to twisted loop algebras over finite-dimensional simple Lie algebras. The main results are the classification of the irreducible modules, the definition of the universal highest-weight modules, called the Weyl modules, and, under a certain mild restriction on the characteristic of the ground field, a proof that the simple modules and the Weyl modules for the twisted hyper loop algebras are isomorphic to appropriate simple and Weyl modules for the non-twisted hyper loop algebras, respectively, via restriction of the action.