Introduction Examples of regular leave algebras n

Vladimir Roubtsov1

Description

Introduction Examples of regular leave algebras, n = 3 Heisenberg invariancy, Poisson structures on Moduli spaces, Odesskii-Feigin-Polishchuk Cremona transformations and Poisson morphisms of P4 Polynomial and Elliptic Algebras of small dimensions. Vladimir Roubtsov1 1LAREMA, U.M.R. 6093 associé au CNRS Université d'Angers and Theory Division, ITEP, Moscow Novembre, 27, 2009 - Claude Roger -2009, Lyon Vladimir Roubtsov Claude Roger 2009, Congrès International, novembre, Lyon

• lie algebra


• poisson


• leave algebras


• algebras associated


• odesskii-feigin-polishchuk cremona


• dx2 ?

Sujets

• Université d'Angers
• Baxter
• Lie algebra
• Poisson

Informations

• Publié par: profil-urra-2012
• Nombre de lectures: 21
• Langue: English

Extrait

Introduction Examples of regular leave algebras,n=3 Heisenberginvariancy,Poissonstructureson r M ph o i d s u m li s s o p f ac P e 4 s, Cremona transformations and Poisson mo

"Polynomial

and Elliptic Algebras dimensions."

Vladimir

Roubtsov 1

of

"small

1 LAREMA, U.M.R. 6093 associé au CNRS Université d’Angers and Theory Division, ITEP, Moscow

Novembre,

27, 2009 - "Claude Roger -2009", Lyon

Vladimir Roubtsov

"Claude Roger 2009", Congrès International, novembre, Lyon

Introduction Examples of regular leave algebras,n=3 Heisenberg invariancy, Poisson structures on Moduli spac P e 4 s, Cremona transformations and Poisson morphisms of

To

60-th

anniversary

of

Vladimir Roubtsov

my

friend

Claude

Roger

"Claude Roger 2009", Congrès International,

novembre, Lyon

Introduction Examples of regular leave algebras,n=3 Heise i s a Cre n m b o e n r a gi t n r v a a n r s i f a o n r c m y, at P io oi n s s so a n n s d tr P u o c i t s u s r o e n so m n or M p o hi d s u m l s p of c P e 4 s, Plan

1

2

3

4

Introduction Poisson algebras associated to elliptic curves.

Examples of regular leave algebras,n=3 Elliptic algebras "Mirror transformation"

Heisenberg invariancy, Poisson structures on Moduli spaces, Odesskii-Feigin-Polishchuk

Cremona transformations and Poisson morphisms ofP 4

Vladimir Roubtsov

"Claude Roger 2009", Congrès International, novembre, Lyon

Introduction Examples of regular leave algebras,n=3 Heisenber n g a i t n r v a a n r s i f a o n r c m y, at P i o o i n s s so a n n s d tr P u o c i t s u s r o e n so m n or M p o hi d s u m li s sp of ac P e 4 s, Cremo

Polynomial Poisson structures Poisson algebras associated to elliptic curves.

APoisson structureon a manifoldM(smooth or algebraic) is given by a bivector antisymmetric tensor fieldπ∈Λ 2 (TM)defining on the corresponded algebra of functions onMa structure of (infinite dimensional) Lie algebra by means of thePoisson brackets

{f,g}=hπ,df∧dgi.

The Jacobi identity for this brackets is equivalent to an analogue of (classical) Yang-Baxter equation namely to the "Poisson Master Equation":[π, π] =0, where the brackets [,] : Λ p (TM)×Λ q (TM)7→Λ p+q−1 (TM)are the only Lie super-algebra structure onΛ . (TM).

Vladimir Roubtsov

"Claude Roger 2009", Congrès International, novembre, Lyon