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[formula omitted]-graded identities of the Virasoro algebra.
- Source :
-
Journal of Algebra . Feb2024, Vol. 640, p401-431. 31p. - Publication Year :
- 2024
-
Abstract
- The Virasoro algebra, defined by the basis elements { L n , c ˆ } n ∈ Z with commutation relations [ L m , L n ] = (m − n) L m + n + δ m + n , 0 ⋅ (C m c ˆ) and [ L m , c ˆ ] = 0 , is an infinite-dimensional Lie algebra with many applications in various areas of Mathematics and Theoretical Physics. Here the symbol δ i , j denotes the Kronecker delta and C m = (m (m 2 − 1)) / 12. This algebra admits a natural Z -grading. Over an infinite field of characteristic different from 2 and 3, we describe the graded identities of the Virasoro algebra for this grading. It turns out that all these Z -graded identities are consequences of a collection of polynomials of degree 2, 3 and 4 and that they do not admit a finite basis. [ABSTRACT FROM AUTHOR]
- Subjects :
- *KRONECKER delta
*LIE algebras
*C*-algebras
*MATHEMATICAL physics
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 640
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 174035756
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2023.10.028