A classification of a certain class of reductive prehomogeneous vector spaces, II
β Scribed by Shin-ichi Kasai
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 510 KB
- Volume
- 129
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
In this paper we show that the vector field X {, h on a based path space W o (M) over a Riemannian manifold M defined by parallel translating a curve h in the initial tangent space T o M via an affine connection { induces a solution flow which preserves the Wiener measure on the based path space W o
## Abstract Compact metric spaces Ο of such a kind, that πΉ~__f__~ =πΉ(__X__), are characterized, πΉ(__X__) is the Οβfield of BOREL sets and πΉ~__f__~(__X__) is the field generated by all open subset of __X__. Our main result is Theorem 5: If Ο is a compact metric space, then the following conditions a
It was about 1932 that TOEPLITZ and I discovered the convergence-free spaces, the first general results appeared in [7]. F. NENN, a student of mine, studied in [8] the spaces of finite degree. I generalized his theory to the class of spaces of countable degree in [Z]. Further progress seemed at tha
The purpose of this paper is to compute the explicit form of the relative invariants and their b-functions of a certain important prehomogeneous vector space appearing in the study of a cuspidal character sheaf of the exceptional group E . For every simple algebraic group excepting the type E , the