Deformation quantization of Poisson manifolds
M Kontsevich - Letters in Mathematical Physics, 2003 - Springer
I prove that every finite-dimensional Poisson manifold X admits a canonical deformation
quantization. Informally, it means that the set of equivalence classes of associative algebras …
quantization. Informally, it means that the set of equivalence classes of associative algebras …
[BOOK][B] Clifford algebras and Lie theory
E Meinrenken - 2013 - Springer
Ergebnisse der Mathematik Volume 58 und ihrer Grenzgebiete A Series of Modern Surveys
in Mathematics Page 1 Ergebnisse der Mathematik Volume 58 und ihrer Grenzgebiete 3 …
in Mathematics Page 1 Ergebnisse der Mathematik Volume 58 und ihrer Grenzgebiete 3 …
Merits and demerits of the orbit method
A Kirillov - Bulletin of the American Mathematical Society, 1999 - ams.org
MERITS AND DEMERITS OF THE ORBIT METHOD Contents 0. Introduction Merits versus
Demerits 1. Geometry of coadjoint orbits 1.1. Coa Page 1 BULLETIN (New Series) OF THE …
Demerits 1. Geometry of coadjoint orbits 1.1. Coa Page 1 BULLETIN (New Series) OF THE …
[BOOK][B] Methods of noncommutative analysis: theory and applications
VE Nazaikinskii, VE Shatalov, BY Sternin - 2011 - books.google.com
The series is devoted to the publication of monographs and high-level textbooks in
mathematics, mathematical methods and their applications. Apart from covering important …
mathematics, mathematical methods and their applications. Apart from covering important …
[BOOK][B] Topics in noncommutative algebra: the theorem of Campbell, Baker, Hausdorff and Dynkin
A Bonfiglioli, R Fulci - 2011 - books.google.com
Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many
different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs …
different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs …
The Kashiwara-Vergne conjecture and Drinfeld's associators
A Alekseev, C Torossian - Annals of Mathematics, 2012 - JSTOR
The Kashiwara-Vergne (KV) conjecture is a property of the Campbell-Hausdorff series put
forward in 1978. It has been settled in the positive by E. Meinrenken and the first author in …
forward in 1978. It has been settled in the positive by E. Meinrenken and the first author in …
The non-commutative Weil algebra
A Alekseev, E Meinrenken - Inventiones mathematicae, 2000 - Springer
For any compact Lie group G, together with an invariant inner product on its Lie algebra?,
we define the non-commutative Weil algebra? G as a tensor product of the universal …
we define the non-commutative Weil algebra? G as a tensor product of the universal …
[BOOK][B] Analysis on Lie groups with polynomial growth
N Dungey, AFMT ter Elst, DW Robinson - 2012 - books.google.com
Analysis on Lie Groups with Polynomial Growth is the first book to present a method for
examining the surprising connection between invariant differential operators and almost …
examining the surprising connection between invariant differential operators and almost …
[HTML][HTML] The Goldman–Turaev Lie bialgebra in genus zero and the Kashiwara–Vergne problem
A Alekseev, N Kawazumi, Y Kuno, F Naef - Advances in Mathematics, 2018 - Elsevier
In this paper, we describe a surprising link between the theory of the Goldman–Turaev Lie
bialgebra on surfaces of genus zero and the Kashiwara–Vergne (KV) problem in Lie theory …
bialgebra on surfaces of genus zero and the Kashiwara–Vergne (KV) problem in Lie theory …
Finite-type invariants of w-knotted objects, I: w-knots and the Alexander polynomial
Finite-type invariants of w-knotted objects, I: w-knots and the Alexander polynomial Page 1
msp Algebraic & Geometric Topology 16 (2016) 1063–1133 Finite-type invariants of w-knotted …
msp Algebraic & Geometric Topology 16 (2016) 1063–1133 Finite-type invariants of w-knotted …