Semantic Scholar Open Access 2013 8 sitasi

The Dynkin index and sl(2)-subalgebras of simple Lie algebras

D. Panyushev

Lihat Sumber DOI

Abstrak

This is a continuation of arXiv:0903.0398 [math.RT]. Let g be a simple Lie algebra. In this note, we provide simple formulae for the index of sl(2)-subalgebras in the classical Lie algebras and a new formula for the index of the principal sl(2). We also compute the difference, D, of the indices of principal and subregular sl(2)-subalgebras. Our formula for D involves some data related to the McKay correspondence for g. Using the index of sl(2)-subalgebras of classical Lie algebras, we also obtain three series of interesting combinatorial identities parameterised by partitions.

Topik & Kata Kunci

Mathematics

Penulis (1)

D. Panyushev

Format Sitasi

APA MLA BibTeX

Panyushev, D. (2013). The Dynkin index and sl(2)-subalgebras of simple Lie algebras. https://doi.org/10.1016/J.JALGEBRA.2015.01.033

Akses Cepat

Lihat di Sumber doi.org/10.1016/J.JALGEBRA.2015.01.033

Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Total Sitasi: 8×
Sumber Database: Semantic Scholar
DOI: 10.1016/J.JALGEBRA.2015.01.033
Akses: Open Access ✓