Seminar Reports of Unitary Representation No. 10

‐contents−

      表紙

1.

Connection formula for invariant eigendistributions on 
$\mathrm{U}(\mathrm{p},\mathrm{q})/\{\mathrm{U}(\mathrm{r})\times \mathrm{U}(\mathrm{p}-\mathrm{r},\mathrm{q})\}$

 
  S. Aoki and S. Kato  
1
2. Nonaberian K‐theory and the K‐theory of Kac‐Moody groups  
  A. Bak
 
6
3.

Nonsplit extensions of Lie algebras and their
irreducible representations

 
 

A. S. Dzhumadil 'daev

 
7
4.

Plancherel formula for monomial representations of
nilpotent Lie groups

 
 

H. Fujiwara

 
8
5. On some categaries of 
$( \mathfrak{g} , \mathrm{K})$
− modules  
  A. Guichardet
 
10
6.

Algebraic derivation of ”Broken

$\mathrm{Z}_{\mathrm{N}}$
− symmetric” solutions for the star‐triangle relations

 
  K. Hasegawa and Y. Yamada  
13
7. Some results on symmetric varieties  
  A. G. Helminck  
18
8.

Projective holomorphic representations of the
restricted linear group

 
  G. F. Helminck  
19
9. K-bi-finite and 
$Z(\mathfrak{g})$
- finite functions  
  J. S. Huang  
24
10. The Pompeiu problem for groups  
  E. Kaniuth  
29
11.

Note on Weyl−Harish−Chandra character formula for tamely
ramified supercupidal representations of 
$\mathrm{GL}_{\mathrm{n}}$

 
 

K. Kariyama

 
32
12.

A method of reduction to the spherical case in harmonic
analysis on real rank 1 semisimple Lie groups

 
  T. Kawazoe  
37
13.

Discontinuous group in a homogeneous space of reductive
type

 
  T. Kobayashi  
41
14.

Relative invariants of the Polynomial rings over the finite
and tame type quivers

 
  K. Koike  
46
15.

Spherical hyperfunctions on the tangent space of symmetric
spaces

 
  A. Kowata  
50
16.

The Penney‐Fujiwara Plancherel formula for homogeneous
spaces with monomial spectrum

 
  R. L. Lipsman  
53
17.

Geometric realizations of unitary highest weight
modules as solutions of differential equations

 
  L. A. Mantini  
56
18. Spherical distributions on symmetric spaces  
  B. Ørsted  
61
19.

Poisson integrals for homogeneous, rank 1 Koszul domains
in 
$\mathbb{C}^{\mathrm{n}}$

 
  R. Penney  
64
20. On the unitary representations of 
$\mathrm{SO}(\mathrm{n},\mathrm{m})$
The full version of this paper including proofs appeared later in
Compositio Math. 86 (1993), no. 2, 127--146.
 
  S. A. Salamanca‐Riba  
69
21. Eigenfunctions of invariant differential operators on
 
  N. Shimeno  
73
22. Generalized Weil representations for 
$\mathrm{SL}(\mathrm{n})$
 
  J. Soto‐Andrade  
86
23. Towards Kac‐Moody Lie groups  
  K. Suto  
91
24.

A Robinson−Schersted−type correspondence for a dual pair
on spinors

 
  I. Terada  
96
25. Representations of non‐semisimple and non‐group object  
  S. Yamagami  

99

26.

Realizations of involutive automorphisms 
$\sigma$
and 
$\mathrm{G}^{\sigma}$
of
exceptional linear Lie groups G

 
  I. Yokota  
101
27.

The relation between the 
$\eta$
‐invariant and the spin
representation in terms of the Selberg zeta function

 
  M. Wakayama  
109
28.

Program, participants, postscript

 
114