Some results on generating functions for characters and weight multiplicities of the Lie algebra $A_3$

Askold M. Perelomov; Jos\'e Fern\'andez N\'u\~nez; Wifredo Garc\'ia Fuertes

arxiv: 1705.03711 · v2 · pith:EDM4PIZAnew · submitted 2017-05-10 · 🧮 math-ph · math.MP

Some results on generating functions for characters and weight multiplicities of the Lie algebra A₃

Jos\'e Fern\'andez N\'u\~nez , Wifredo Garc\'ia Fuertes , Askold M. Perelomov This is my paper

classification 🧮 math-ph math.MP

keywords charactersfunctionsgeneratingmultiplicitiessomealgebraalgebrascalogero-sutherland

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A method based on the quantum Calogero-Sutherland model is used to obtain generating functions for characters and multiplicities of $A_3$. Some comments on other rank three algebras are offered.

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Some results on generating functions for characters and weight multiplicities of the Lie algebra A₃

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