Wyniki wyszukiwania

1

The Cauchy Harish-Chandra Integral, for the pair $$\mathfrak{u}_{p,q} ,\mathfrak{u}_1 $$

100%

Daszkiewicz A., Przebinda T.

Open Mathematics

|

2007

|

tom 5

|

nr 4

654-664

EN

For the dual pair considered, the Cauchy Harish-Chandra Integral, as a distribution on the Lie algebra, is the limit of the holomorphic extension of the reciprocal of the determinant. We compute that limit explicitly in terms of the Harish-Chandra orbital integrals.

2

Extensions of Three Matrix Inequalities to Semisimple Lie Groups

76%

Liu X., Tam T.-Y.

Special Matrices

|

2014

|

tom 2

|

nr 1

EN

We give extensions of inequalities of Araki-Lieb-Thirring, Audenaert, and Simon, in the context of semisimple Lie groups.

3

A reverse engineering approach to the Weil representation

76%

Aubert A.-M., Przebinda T.

Open Mathematics

|

2014

|

tom 12

|

nr 10

1500-1585

EN

We describe a new approach to the Weil representation attached to a symplectic group over a finite or a local field. We dissect the representation into small pieces, study how they work, and put them back together. This way, we obtain a reversed construction of that of T. Thomas, skipping most of the literature on which the latter is based.

Ograniczanie wyników

2 Open Mathematics

1 Special Matrices

2 Przebinda T.

1 Aubert A.-M.

1 Daszkiewicz A.

1 Liu X.

1 Tam T.-Y.

2 2014

1 2007

The Cauchy Harish-Chandra Integral, for the pair $$\mathfrak{u}_{p,q} ,\mathfrak{u}_1 $$

Extensions of Three Matrix Inequalities to Semisimple Lie Groups

A reverse engineering approach to the Weil representation