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International conference "Algebraic Groups and Lie Groups" on the occasion of the 70th birthday of Vladimir L. Popov
October 4, 2016 10:30–11:30, Moscow, Steklov Mathematical Institute, room 530 (Gubkina 8)
 


Method of computations of Hilbert series

Michèle Vergne
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Michèle Vergne


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Abstract: I will report on a joint work with V. Baldoni-Silva.
Let $G$ be a semi-simple group acting linearly on a vector space $V$. It is important to understand the graded ring of invariants polynomials under the action of $G$, a subject intensively studied by V. Popov; I will present a method to compute the corresponding Hilbert series based on a residue calculus in several variables.
I will give some examples related to $N$ qubits.

Language: English

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