Pregled bibliografske jedinice broj: 879107
On some partition identities related to affine Lie algebra representations
On some partition identities related to affine Lie algebra representations // 1st Croatian Combinatorial Days / Došlić, Tomislav ; Martinjak, Ivica (ur.).
Zagreb: Građevinski fakultet Sveučilišta u Zagrebu, 2016. str. 77-88 (pozvano predavanje, međunarodna recenzija, pp prezentacija, znanstveni)
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Naslov
On some partition identities related to affine Lie algebra
representations
Autori
Svrtan, Dragutin
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, pp prezentacija, znanstveni
Izvornik
1st Croatian Combinatorial Days
/ Došlić, Tomislav ; Martinjak, Ivica - Zagreb : Građevinski fakultet Sveučilišta u Zagrebu, 2016, 77-88
Skup
1st Croatian Combinatorial Days
Mjesto i datum
Zagreb, Hrvatska, 29.09.2016. - 30.09.2016
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
partition function, partition identity, Lie algebra
Sažetak
In this paper, meant for combinatorialists, we give a proof of equipotence of two families of partitions (’Primc conjecture’) which appeared in the early stage of representation theory of affine Lie algebra A(1) 1 (or Sl(2, C)∧). The result was obtained already in 1983 and it lead to the very first character formulas for the level 3 standard modules (this is mentioned in Ref[1]) on pages 2 and 77 respectively). We hope that the intricacy of handling the interlocking recursion rela- tions may be of some interest to combinatorialists not working in Lie algebra theory.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Dragutin Svrtan
(autor)
