N. Xi

activity

19982004

most citedThe leading coefficient of certain Kazhdan-Lusztig polynomials of the permutation group

S_{n}

5 citations · 7 across the 2 of their papers we have counts for

collaborators

4 papers

math.RT2004★ 2 cited

Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra

Toshiyuki Tanisaki, Nanhua Xi

According to Kazhdan-Lusztig and Ginzburg, the Hecke algebra of an affine Weyl group is identified with the equivariant $K$ -group of Steinberg's triple variety. The $K$ -group is eq…

math.CO2004★ 5 cited

The leading coefficient of certain Kazhdan-Lusztig polynomials of the permutation group $S_{n}$

Nanhua Xi

In this paper we show that the leading coefficient $μ (y, w)$ of certain Kazhdan-Lusztig polynomials $P_{y, w}$ of the permutation group $S_{n}$ of 1,2,...,n are not greater t…

math.QA2000

The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type $A ~_{n - 1}$

Nanhua XI

In this paper we prove Lusztig's conjecture on based ring for an affine Weyl group of type $A ~_{n - 1}$ .

math.QA1998

Monomial Bases of Quantized Enveloping Algebras

Vyjayanthi Chari, Nanhua Xi

We construct a monomial basis of the positive part of the quantized enveloping algebra associated to a finite-dimensional simple Lie algebra. As an application we give a simple pro…

Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra

The leading coefficient of certain Kazhdan-Lusztig polynomials of the permutation group Sn​

The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type A~n−1​

Monomial Bases of Quantized Enveloping Algebras

The leading coefficient of certain Kazhdan-Lusztig polynomials of the permutation group $S_{n}$

The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type $A ~_{n - 1}$