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We consider the centers of the affine vertex algebras at the critical level associated with simple Lie algebras. We derive new formulas for generators of the centers in the classical… Click to show full abstract
We consider the centers of the affine vertex algebras at the critical level associated with simple Lie algebras. We derive new formulas for generators of the centers in the classical types. We also give a new formula for the Capelli-type determinant for the symplectic Lie algebras and calculate the Harish-Chandra images of the Casimir elements arising from the characteristic polynomial of the matrix of generators of each classical Lie algebra.
Keywords:
lie;
lie algebras;
classical lie;
sugawara vectors;
segal sugawara;
casimir elements
Journal Title: Letters in Mathematical Physics
Year Published: 2020
Link to full text (if available)
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Journal Title: Letters in Mathematical Physics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!