منابع مشابه
Small Semisimple Subalgebras of Semisimple Lie Algebras
The goal of Section 2 is to provide a proof of Theorem 2.0.1. Section 3 introduces the necessary facts about Lie algebras and representation theory, with the goal being the proof of Proposition 3.5.7 (ultimately as an application of Theorem 2.0.1), and Proposition 3.3.1. In Section 4 we prove the main theorem, using Propositions 3.3.1 and 3.5.7. In Section 5, we apply the theorem to the special...
متن کاملA Nonhereditary Borel-cover γ-set
In this paper we prove that if there is a Borel-cover γ-set of cardinality the continuum, then there is one which is not hereditary. In this paper we answer some of the questions raised by Bartoszyński and Tsaban [1] concerning hereditary properties of sets defined by certain Borel covering properties. Define. An ω-cover of a set X is a family of sets such that every finite subset of X is inclu...
متن کاملCellini's Descent Algebra, Dynamical Systems, and Semisimple Conjugacy Classes of Finite Groups of Lie Type
By algebraic group theory, there is a map from the semisimple conjugacy classes of a finite group of Lie type to the conjugacy classes of the Weyl group. Picking a semisimple class uniformly at random yields a probability measure on conjugacy classes of the Weyl group. We conjecture that this measure agrees with a second measure on conjugacy classes of the Weyl group induced by a construction o...
متن کاملSquarefree Polynomials over Finite Fields and Regular Semisimple Classes of Certain Classical Groups
Let G be P SL n (q); P SU n (q); Sp 2n (q) or P Sp 2n (q), where q is a power of the prime p. Using results on the numbers of special squarefree polynomials over nite elds, we describe and count the conjugacy classes of p 0-elements with abelian centralizers in G. Similar results are obtained for the semisimple orbits of G on the corresponding nite Lie algebras.
متن کاملCellini's Descent Algebra and Semisimple Conjugacy Classes of Finite Groups of Lie Type
By algebraic group theory, there is a map from the semisimple conjugacy classes of a finite group of Lie type to the conjugacy classes of the Weyl group. Picking a semisimple class uniformly at random yields a probability measure on conjugacy classes of the Weyl group. We conjecture that this measure agrees with a second measure on conjugacy classes of the Weyl group induced by a construction o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1967
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1967-0220786-x