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Calcolo della funzione di partizione di Kostant

Stefano Capparelli (2003)

Bollettino dell'Unione Matematica Italiana

Forniamo un calcolo esplicito della funzione di partizione di Kostant per algebre di Lie complesse di rango $2$ . La tecnica principale consiste nella riduzione a casi più semplici ed all'uso di funzioni generatrici.

Canonical equivalence relations for parameter sets

Prömel, H. J., Voigt, B. (1981)

Abstracta. 9th Winter School on Abstract Analysis

Canonical ordering theorems, a first attempt

Nešetřil, J., Prömel, H. J., Rödl, V., Voigt, B. (1982)

Proceedings of the 10th Winter School on Abstract Analysis

Canonical partition theorems for finite distributive lattices

Prömel, H. J., Voigt, B. (1982)

Proceedings of the 10th Winter School on Abstract Analysis

Coloured generalised Young diagrams for affine Weyl-Coxeter groups.

King, R.C., Welsh, T.A. (2007)

The Electronic Journal of Combinatorics [electronic only]

Combinatorial interpretation of generalized Stirling numbers.

Lang, Wolfdieter (2009)

Journal of Integer Sequences [electronic only]

Combinatorial interpretations for identities using chromatic partitions

Mateus Alegri, Wagner Ferreira Santos, Samuel Brito Silva (2021)

Czechoslovak Mathematical Journal

We provide combinatorial interpretations for three new classes of partitions, the so-called chromatic partitions. Using only combinatorial arguments, we show that these partition identities resemble well-know ordinary partition identities.