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Some crystal Roger-Ramanujan type identities

Mirko Primc

Puni tekst: engleski, pdf (687 KB) str. 73-86 preuzimanja: 442* citiraj
APA 6th Edition
Primc, M. (1999). Some crystal Roger-Ramanujan type identities. Glasnik matematički, 34 (1), 73-86. Preuzeto s https://hrcak.srce.hr/6404
MLA 8th Edition
Primc, Mirko. "Some crystal Roger-Ramanujan type identities." Glasnik matematički, vol. 34, br. 1, 1999, str. 73-86. https://hrcak.srce.hr/6404. Citirano 20.10.2021.
Chicago 17th Edition
Primc, Mirko. "Some crystal Roger-Ramanujan type identities." Glasnik matematički 34, br. 1 (1999): 73-86. https://hrcak.srce.hr/6404
Harvard
Primc, M. (1999). 'Some crystal Roger-Ramanujan type identities', Glasnik matematički, 34(1), str. 73-86. Preuzeto s: https://hrcak.srce.hr/6404 (Datum pristupa: 20.10.2021.)
Vancouver
Primc M. Some crystal Roger-Ramanujan type identities. Glasnik matematički [Internet]. 1999 [pristupljeno 20.10.2021.];34(1):73-86. Dostupno na: https://hrcak.srce.hr/6404
IEEE
M. Primc, "Some crystal Roger-Ramanujan type identities", Glasnik matematički, vol.34, br. 1, str. 73-86, 1999. [Online]. Dostupno na: https://hrcak.srce.hr/6404. [Citirano: 20.10.2021.]

Sažetak
By using the KMN2 crystal base character formula for the basic A2(1)-module, and the principally specialized Weyl-Kac character formula, we obtain a Rogers-Ramanujan type combinatorial identity for colored partitions. The difference conditions between parts are given by the energy function of certain perfect A2(1)-crystal. We also recall some other identities for this type of colored partitions, but coming from the vertex operator constructions and with no apparent connection to the crystal base theory.

Ključne riječi
Rogers-Ramanujan identities; colored partitions; partition ideals; perfect crystals; affine Lie algebras; basic modules

Hrčak ID: 6404

URI
https://hrcak.srce.hr/6404

Posjeta: 722 *