The Gaussian Polynomial, Restricted k-Rowed Plane Partitions and Hopf Algebras

被引：0

作者：

Enrico Celeghini

Mario Rasetti

机构：

[1] Università di Firenze,Dipartimento di Fisica

[2] INFN-Firenze,Dipartimento di Fisica and Unità INFM

[3] I,undefined

[4] Politecnico di Torino,undefined

[5] I,undefined

来源：

Letters in Mathematical Physics | 1997年 / 40卷

关键词：

Gaussian polynomial; restricted partitions; -algebras.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Resorting to suitable representations of q-algebras, we give a new proof of the theorem stating that the Gaussian polynomial defined by the q-binomial coefficient is the weight (polynomial generating function) of the restricted (i.e. limited in number and size of summands) k-rowed plane partitions.

引用

页码：171 / 176

页数：5

共 10 条

[1] Stanley R. P.(1971)Studies in Applied Math. M.I.T. Proc. Young Day 50 167 and 259-undefined
[2] Lepowsky J.(1978)undefined Proc. Natl. Acad. Sci. USA 75 578-undefined
[3] Milne S.(1980)undefined Adv. in Math. 35 179-undefined
[4] Lepowsky J.(1980)undefined Adv. in Math 38 101-undefined
[5] White D.(1982)undefined Amer. Math. Monthly 89 721-undefined
[6] Proctor R.(1984)undefined Order 1 29-undefined
[7] Stanley R. P.(1990)undefined J. Comb. Theory A 53 29-undefined
[8] O'Hara K. M.(1996)undefined Internat. J. Modern Phys. B 10 1625-undefined
[9] Celeghini C.(undefined)undefined undefined undefined undefined-undefined
[10] Rasetti M.(undefined)undefined undefined undefined undefined-undefined

← 1 →