Exponential generating functions and complexity of Lie varieties
β Scribed by V. M. Petrogradsky
- Publisher
- The Hebrew University Magnes Press
- Year
- 1999
- Tongue
- English
- Weight
- 665 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0021-2172
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The surjectivity of the exponential function of complex algebraic, in particular of complex semisimple Lie groups, and of complex splittable Lie groups is equivalent to the connectedness of the centralizers of the nilpotent elements in the Lie algebra. This implies that the only complex semisimple L
In this paper, we study formal power series with exponents in a category. For example, the generating function of a category E E with finite hom sets is defined by Ε½ . X < Ε½ .< E E t s Γt r Aut X , where the summation is taken over all isomorphism classes of objects of E E. We can use such power se