On Segal-Sugawara vectors and Casimir elements for classical Lie algebras

DOI10.1007/s11005-020-01344-3zbMath1468.17037arXiv2008.05256OpenAlexW3090436692MaRDI QIDQ2224525

Alexander I. Molev

Publication date: 3 February 2021

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.05256

zbMATH Keywords

affine Kac-Moody algebraHarish-Chandra isomorphismFeigin-Frenkel centerCapelli determinant

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (1)

Symmetrisation and the Feigin–Frenkel centre

Cites Work

• Unnamed Item
• Unnamed Item
• Segal-Sugawara vectors for the Lie algebra of type \(G_2\)
• On tensor spaces for Birman-Murakami-Wenzl algebras
• The Capelli identity, the double commutant theorem, and multiplicity-free actions
• Central elements in the universal enveloping algebras for the split realization of the orthogonal Lie algebras
• KZ equation, G-opers, quantum Drinfeld-Sokolov reduction, and quantum Cayley-Hamilton identity
• Schur functions: Theme and variations
• Feigin-Frenkel center in types \(B\), \(C\) and \(D\)
• Casimir elements from the Brauer-Schur-Weyl duality
• Yangian Characters and Classical $$\mathcal{W}$$ -Algebras
• On Higher-Order Sugawara Operators
• AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS
• Sugawara Operators for Classical Lie Algebras
• Sklyanin determinant, Laplace operators, and characteristic identities for classical Lie algebras

This page was built for publication: On Segal-Sugawara vectors and Casimir elements for classical Lie algebras