Results 31 to 40 of about 872,521 (356)

Semibounded representations and invariant cones in infinite dimensional Lie algebras [PDF]

, 2009
A unitary representation of a, possibly infinite dimensional, Lie group $G$ is called semi-bounded if the corresponding operators $i\dd\pi(x)$ from the derived representations are uniformly bounded from above on some non-empty open subset of the Lie ...
Neeb, Karl-Hermann
core   +4 more sources

Cooking pasta with Lie groups

Nuclear Physics B, 2022
We extend the (gauged) Skyrme model to the case in which the global isospin group (which usually is taken to be SU(N)) is a generic compact connected Lie group G.
S.L. Cacciatori, F. Canfora, M. Lagos, F. Muscolino, A. Vera   +4 more
doaj   +1 more source

The moment map of a Lie group representation [PDF]

Transactions of the American Mathematical Society, 1992
Given an m × m m \times m Hadamard matrix one can extract m 2 {m^2} symmetric designs on m − 1 m - 1 points each of which extends uniquely to a 3 3 -design.
openaire   +2 more sources

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

Yang-Yang functions, monodromy and knot polynomials

Journal of High Energy Physics, 2021
We derive a structure of ℤ[t, t −1]-module bundle from a family of Yang-Yang functions. For the fundamental representation of the complex simple Lie algebra of classical type, we give explicit wall-crossing formula and prove that the monodromy ...
Peng Liu, Wei-Dong Ruan
doaj   +1 more source

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

Equivariant K‐theory of compact Lie group actions with maximal rank isotropy [PDF]

Journal of Mathematics and Physics, 2012
Let G denote a compact connected Lie group with torsion‐free fundamental group acting on a compact space X such that all the isotropy subgroups are connected subgroups of maximal rank. Let T⊂G be a maximal torus with Weyl group W.
A. Adem, José Cantarero, José Manuel Gómez   +2 more
semanticscholar   +1 more source

Symmetry Representations in the Rigged Hilbert Space Formulation of Quantum Mechanics [PDF]

, 2002
We discuss some basic properties of Lie group representations in rigged Hilbert spaces. In particular, we show that a differentiable representation in a rigged Hilbert space may be obtained as the projective limit of a family of continuous ...
A Bohm, Antoine J P, Antoine J P, Antoine J P, Bohm A, Bohm A, Bohm A, Bohm A, Bohm A, Bohm A, Flato M, Hille E, Komura T, Nagel B, Nelson E, Pietsch A, Roberts J E, Robinson D, Robinson D, Rusinek J, S Wickramasekara, Simon J, Yosida K   +22 more
core   +2 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

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