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Results tagged with kac-moody-algebras
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user 117247
12
votes
1
answer
834
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Physicists misuse the term "Kac Moody algebra". Does that bring problems?
In physics textbooks one frequently sees the name (affine) Kac Moody algebra used to describe the universal (one dimensional) central extension of the loop algebra of a semisimple algebra. But this is …
- 379
7
votes
1
answer
1k
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The use of Schur's lemma for Lie algebras in physics (CFT)
Anytime a one-dimensional central extension appears in the physics literature, immediately they assume that in any irreducible representation the central charge will be a multiple of the identity, imp …
- 379
1
vote
0
answers
101
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Different views on Highest weight irreducible modules of the Virasoro algebra
Every highest weight irreducible representation of the Virasoro algebra can be labelled uniquely by a pair $(c,h)$ of complex numbers [1]. This module can be written as quotient of the unique (up to i …
- 379