Found 50 Documents (Results 1–50)
Instantons and magnetic monopoles on \({\mathbb{R}}^ 3\times S^ 1\) with arbitrary simple gauge groups. (English) Zbl 1049.81559
A spectral approach to the computation of Morse indices of critical orbits of a Dirichlet integral on a manifold of \(C^2\)-loops in the group \(SO(3)\). (Russian) Zbl 0959.22015
Reviewer: Jürgen Appell (Würzburg)
Pairings of \(p\)-compact groups and \(H\)-structures on the classifying spaces of finite loop spaces. (English) Zbl 1009.55010
Some examples of Dirichlet operators associated with the actions of infinite dimensional Lie groups. (English) Zbl 0936.58005
Reviewer: A.N.Kochubei (Kyïv)
Hamiltonian loop group actions and Verlinde factorization. (English) Zbl 0949.37031
Reviewer: Samir Musayev (Baku)
Willmore immersions and loop groups. (English) Zbl 0938.53033
Reviewer: U.Hertrich-Jeromin (Berlin)
The elementary geometric structure of compact Lie groups. (English) Zbl 0933.22010
Reviewer: H.Hähl (Stuttgart)
Stochastic homology of the loop space. (English) Zbl 0958.58030
Heyer, Herbert (ed.) et al., Analysis on infinite-dimensional Lie groups and algebras. Proceedings of the international colloquium, Marseille, France, September 15-19, 1997. Singapore: World Scientific. 229-234 (1998).
Reviewer: Ya.Belopolskaya (St.Peterburg)
MSC:
58J65
Loop groups and equations of KdV type. (English) Zbl 0939.35163
Terng, Chuu Lian (ed.) et al., Surveys in differential geometry. Vol. IV. A supplement to the Journal of Differential Geometry. Integral systems (integrable systems). Lectures on geometry and topology. Cambridge, MA: International Press. 403-466 (1998).
Reviewer: M.Marvan (Opava)
Bihamiltonian reductions and \({\mathcal W}_n\)-algebras. (English) Zbl 0953.37014
Reviewer: Lev Lerman (Nizhny Novgorod)
Stochastic gauge transform of the string bundle. (English) Zbl 0959.58046
Reviewer: Simon Eloshvili (Tbilisi)
Soliton immersions. (English) Zbl 0942.53005
Local geometric loops. (English) Zbl 0992.22002
Reviewer: Elena Zizioli (Brescia)
Comparison of the geometric bar and \(W\)-constructions. (English) Zbl 0924.18007
Reviewer: Paul G.Goerss
The role of Michael Batanin’s monoidal globular categories. (English) Zbl 0932.18005
Getzler, Ezra (ed.) et al., Higher category theory. Workshop on higher category theory and physics, Evanston, IL, USA, March 28–30, 1997. Providence, RI: American Mathematical Society. Contemp. Math. 230, 99-116 (1998).
Reviewer: T.Porter (Bangor)
Harmonic functions on loop groups. (English) Zbl 0931.58020
Séminaire Bourbaki. Volume 1997/98. Exposés 835–849. Paris: Société Mathématique de France, Astérisque. 252, 271-286, Exp. No. 846 (1998).
Reviewer: J.Picard (Aubière)
Elliptic quantum groups \(E_{\tau,\eta}({\mathfrak sl}_2)\) and quasi-Hopf algebras. (English) Zbl 0959.17013
MSC:
17B37
16W30
On the cohomology groups of complexes of homogeneous forms on loop spaces of smooth manifolds. (English. Russian original) Zbl 0933.58025
Funct. Anal. Appl. 32, No. 3, 162-171 (1998); translation from Funkts. Anal. Prilozh. 32, No. 3, 22-34 (1998).
Reviewer: N.Papaghiuc (Iaşi)
On the homotopy classification of spaces with a fixed Pontryagin algebra. (English) Zbl 0920.55008
Reviewer: K.Yamaguchi (Tokyo)
Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation. (English) Zbl 0923.58060
Finite generation of equivariant cohomology for a \(p\)-compact group \(G\). (English) Zbl 0920.55010
Reviewer: Michael Joachim (Münster)
Actions of loop groups on the space of harmonic maps into reductive homogeneous spaces. (English) Zbl 0924.58013
Reviewer: V.Balan (Bucureşti)
Weierstrass type representation of harmonic maps into symmetric spaces. (English) Zbl 0932.58018
Reviewer: Andreas Gastel (Düsseldorf)
MSC:
58E20
The arithmetic theory of loop groups. II: The Hilbert-modular case. (English) Zbl 0974.22020
Reviewer: Vladimir L. Popov (Moskva)
A note on the homotopy type of \(\Omega BSL_3(\mathbb{Z})_2^\wedge\). (English) Zbl 0914.55008
Reviewer: J.Korbaš (Bratislava)
Borel-Weil-Bott theory on the moduli stack of \(G\)-bundles over a curve. (English) Zbl 0980.14025
Reviewer: Joshua Roy (Columbus)
Operator algebras and conformal field theory. III: Fusion of positive energy representations of \(LSU(N)\) using bounded operators. (English) Zbl 0944.46059
Reviewer: S.Goldstein (Łódź)
Some loops whose loop algebras are flexible. II. (English) Zbl 0920.20060
Reviewer: E.Brožíková (Praha)
A logarithmic Sobolev inequality for the free loop group. (English. Abridged French version) Zbl 0910.22020
The log-Sobolev inequality on loop space over a compact Riemannian manifold. (English) Zbl 0909.22036
Reviewer: C.Udrişte (Bucureşti)
Drinfeld-Sokolov reduction for difference operators and deformations of \(W\)-algebras. II: The general semisimple case. (English) Zbl 0916.17021
Reviewer: Volodymyr Mazorchuk (Kyiv)
Connected finite loop spaces with maximal tori. (English) Zbl 0912.55004
Reviewer: Aleksej Tralle (Olsztyn)
Tutte decomposition for graphs, weighted graphs, and symmetric matrices. (English) Zbl 0906.05029
Feigin, B. (ed.) et al., Topics in quantum groups and finite-type invariants. Mathematics at the Independent University of Moscow. Providence, RI: American Mathematical Society. Transl. Math. Monogr. 185(38), 137-146 (1998).
Reviewer: G.Gutin (Odense)
MSC:
05C25
16W30
Lie groups and \(p\)-compact groups. (English) Zbl 0912.55005
Reviewer: R.Löwen (Braunschweig)
Space exponents for loop spaces of spheres. (English) Zbl 0908.55006
Dwyer, William G. (ed.) et al., Stable and unstable homotopy. Proceedings of workshops held during 1996 at the Fields Institute, Waterloo, Canada. Providence, RI: American Mathematical Society. Fields Inst. Commun. 19, 279-284 (1998).
Reviewer: J.McCleary (Strasbourg)
Space from the point of view of loop groups. (English) Zbl 0911.22015
Huggett, S. A. (ed.) et al., The geometric universe: science, geometry, and the work of Roger Penrose. Proceedings of the symposium on geometric issues in the foundations of science, Oxford, UK, June 1996 in honour of Roger Penrose in his 65th year. Oxford: Oxford University Press. 245-253 (1998).
Reviewer: Aleksej Tralle (Olsztyn)
On homological properties of singular braids. (English) Zbl 0903.55006
Reviewer: J.Huebschmann (Villeneuve d’Ascq)
Comultiplications on free groups and wedges of circles. (English) Zbl 0897.55009
Reviewer: R.Vogt (Osnabrück)
On the relation between simple groups and homotopy theory. (English) Zbl 0891.55018
Adem, Alejandro (ed.) et al., Group representations: cohomology, group actions and topology. Summer Research Institute on cohomology, representations, and actions of finite groups, Seattle, WA, USA, July 7–27, 1996, Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 63, 419-440 (1998).
Reviewer: K.P.Johnson (Halifax)
Discrete Series for Loop Groups.I. An algebraic Realization of Standard Modules. arXiv:math/9809131
Preprint, arXiv:math/9809131 [math.RT] (1998).
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