Euler's difference table and decomposition of tensor powers of adjoint representation of $A_n$ Lie algebra

DOI10.1134/S0040577922120017zbMath1526.17015arXiv1903.11384MaRDI QIDQ6316275

A. M. Perelomov

Publication date: 19 March 2019

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Related Items (1)

Euler’s triangle and the decomposition of tensor powers of the adjoint 𝔰𝔩(2)-module

Cites Work

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• On the decomposition of the tensor algebra of the classical Lie algebras
• Derangements and tensor powers of adjoint modules for \(\mathfrak{sl}_n\)
• Generating functions and multiplicity formulas: The case of rank two simple Lie algebras
• Generating functions for characters and weight multiplicities of irreducible 𝓈𝓁(4)-modules
• On the generating function of weight multiplicities for the representations of the Lie algebra C2
• On an approach for computing the generating functions of the characters of simple Lie algebras

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