Kus, D and Venkatesh, R (2021) Borel�de siebenthal theory for affine reflection systems. In: Moscow Mathematical Journal, 21 (1). pp. 99-127.
Full text not available from this repository.Abstract
We develop a Borel�de Siebenthal theory for affine reflection systems by describing their maximal closed subroot systems. Affine reflection systems (introduced by Loos and Neher) provide a unifying framework for root systems of finite-dimensional semi-simple Lie alge-bras, affine and toroidal Lie algebras, and extended affine Lie algebras. In the special case of nullity k toroidal Lie algebras, we obtain a one-to-one correspondence between maximal closed subroot systems with full gradient and triples (q, (bi), H), where q is a prime number, (bi) is a n-tuple of integers in the interval 0, q � 1 and H is a (k � k) Hermite normal form matrix with determinant q. This generalizes the k = 1 result of Dyer and Lehrer in the setting of affine Lie algebras. © 2021 Independent University of Moscow.
| Item Type: | Journal Article |
|---|---|
| Publication: | Moscow Mathematical Journal |
| Publisher: | Independent University of Moscow |
| Additional Information: | The copyright of this article belongs to Independent University of Moscow |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 11 Mar 2021 09:32 |
| Last Modified: | 11 Mar 2021 09:32 |
| URI: | http://eprints.iisc.ac.in/id/eprint/68223 |
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