Results 31 to 40 of about 853,327 (326)

An Invitation to Higher Gauge Theory [PDF]

, 2010
In this easy introduction to higher gauge theory, we describe parallel transport for particles and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a gauge group, this generalization involves a gauge '2-group'.
A. Ashtekar, A. Baratin, A. Baratin, A. Pressley, A.J. Power, A.L. Carey, A.P. Balachandran, B. Eckmann, C. DeWitt-Morette, D.S. Freed, E. Witten, F. Girelli, F. Girelli, H. Pfeiffer, H. Weyl, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Baez, J. Elgueta, J. Lewandowski, J.-L. Brylinski, J.-L. Brylinski, J.-L. Brylinski, J.H.C. Whitehead, J.H.C. Whitehead, J.W. Barrett, John C. Baez, John Huerta, K. Gawedzki, K. Gawedzki, L. Breen, L. Breen, L. Castellani, L. Crane, L. Crane, L. Freidel, M. Johnson, M. Mackaay, M. Montesinos, M. Schlessinger, M.K. Murray, M.K. Murray, P. Aschieri, P. Aschieri, S. Mac Lane, S. Stolz, T. DeDonder, U. Schreiber, V. Guillemin, W. Fairbairn   +58 more
core   +5 more sources

Haar expectations of ratios of random characteristic polynomials [PDF]

, 2016
We compute Haar ensemble averages of ratios of random characteristic polynomials for the classical Lie groups K = O(N), SO(N), and USp(N). To that end, we start from the Clifford-Weyl algebera in its canonical realization on the complex of holomorphic ...
A Huckleberry, D Bump, FA Berezin, GB Folland, JB Conrey, M Kalus, N Berline, R Howe, S-J Cheng, S-J Cheng, S-J Cheng   +10 more
core   +2 more sources

On the extensions of infinite-dimensional representations of Lie semigroups

International Journal of Mathematics and Mathematical Sciences, 2002
The necessary and sufficient conditions have been obtained for extendability of a Banach representation of a generating Lie semigroup S to a local representation of the Lie group G generated by S when the tangent wedge of S is a Lie semialgebra. The most
Adolf R. Mirotin
doaj   +1 more source

On Square-Integrable Representations of A Lie Group of 4-Dimensional Standard Filiform Lie Algebra

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2020
In this paper, we study irreducible unitary representations of a real standard filiform Lie group with dimension equals 4 with respect to its basis. To find this representations we apply the orbit method introduced by Kirillov. The corresponding orbit of
Edi Kurniadi
doaj   +1 more source

Exchange dynamical quantum groups [PDF]

, 1999
For any simple Lie algebra g and any complex number q which is not zero or a nontrivial root of unity, we construct a dynamical quantum group (Hopf algebroid), whose representation theory is essentially the same as the representation theory of the ...
Etingof, Pavel, Varchenko, Alexander
core   +4 more sources

How to perform the coherent measurement of a curved phase space by continuous isotropic measurement. I. Spin and the Kraus-operator geometry of $\mathrm{SL}(2,\mathbb{C})$ [PDF]

Quantum, 2023
The generalized $Q$-function of a spin system can be considered the outcome probability distribution of a state subjected to a measurement represented by the spin-coherent-state (SCS) positive-operator-valued measure (POVM).
Christopher S. Jackson, Carlton M. Caves
doaj   +1 more source

On Sobolev norms for Lie group representations [PDF]

Journal of Functional Analysis, 2021
10 pages, to appear in Journal of Functional ...
Heiko Gimperlein, Bernhard Krötz
openaire   +3 more sources

Lagrangian subcategories and braided tensor equivalences of twisted quantum doubles of finite groups [PDF]

, 2007
We classify Lagrangian subcategories of the representation category of a twisted quantum double of a finite group. In view of results of 0704.0195v2 this gives a complete description of all braided tensor equivalent pairs of twisted quantum doubles of ...
A. Coste, C. Goff, D. Naidu, D. Tambara, Deepak Naidu, Dmitri Nikshych, G.I. Kac, G.I. Kac, J. Fuchs, M. Müger, M. Müger, P. Deligne, P. Etingof, P. Etingof, P. Etingof, P. Schauenburg, R. Dijkgraaf, R. Dijkgraaf, S. Natale, V. Drinfeld, V. Ostrik, V. Ostrik   +21 more
core   +1 more source

Lie Supergroups Obtained from 3-Dimensional Lie Superalgebras Associated to the Adjoint Representation and Having a 2-Dimensional Derived Ideal

International Journal of Mathematics and Mathematical Sciences, 2008
We give the explicit multiplication law of the Lie supergroups for which the base manifold is a 3-dimensional Lie group and whose underlying Lie superalgebra g=g0⊕g1 which satisfies g1=g0, g0 acts on g1 via the adjoint representation and g0 has a 2 ...
I. Hernández, R. Peniche
doaj   +1 more source

An amenability-like property of finite energy path and loop groups

Comptes Rendus. Mathématique, 2021
We show that the groups of finite energy loops and paths (that is, those of Sobolev class $H^1$) with values in a compact connected Lie group, as well as their central extensions, satisfy an amenability-like property: they admit a left-invariant mean on ...
Pestov, Vladimir
doaj   +1 more source