Results 41 to 50 of about 2,177,540 (199)
A constructive algorithm for the Cartan decomposition of SU(2^N)
, 2005 We present an explicit numerical method to obtain the Cartan-Khaneja-Glaser decomposition of a general element G of SU(2^N) in terms of its `Cartan' and `non-Cartan' components. This effectively factors G in terms of group elements that belong in SU(2^n)
Dynkin E. B. +5 more
core +1 more source
On the Cartan matrix of Mackey algebras [PDF]
, 2010 Let k be a field of characteristic p>0, and G be a finite group. The first result of this paper is an explicit formula for the determinant of the Cartan matrix of the Mackey algebra mu_k(G) of G over k.
S. Bouc
semanticscholar +1 more source
Relations between Clifford Algebra and Dirac Matrices in the Presence of Families
Particles, 2020 The internal degrees of freedom of fermions are in the spin-charge-family theory described by the Clifford algebra objects, which are superposition of an odd number of γ a ’s.
Dragan Lukman +2 more
doaj +1 more source
Resolution of Chern--Simons--Higgs Vortex Equations
, 2015 It is well known that the presence of multiple constraints of non-Abelian relativisitic Chern--Simons--Higgs vortex equations makes it difficult to develop an existence theory when the underlying Cartan matrix $K$ of the equations is that of a general ...
Han, Xiaosen +2 more
core +1 more source
A categorification of non-crossing partitions [PDF]
, 2015 We present a categorification of the non-crossing partitions given by crystallographic Coxeter groups. This involves a category of certain bilinear lattices, which are essentially determined by a symmetrisable generalised Cartan matrix together with a ...
Hubery, Andrew, Krause, Henning
core +1 more source
Duality cascades and duality walls
, 2002 We recast the phenomenon of duality cascades in terms of the Cartan matrix associated to the quiver gauge theories appearing in the cascade. In this language, Seiberg dualities for the different gauge factors correspond to Weyl reflections. We argue that
A. Giveon +26 more
core +3 more sources
Quantum Inspired Universal Analog Computation Based on Circuits
Advanced Quantum Technologies, EarlyView.We propose an analog scheme of classical circuit for universal quantum computation. The information is encoded using correlated electrical signals, and the number of the basic computing components employed in our circuit design is consistent with the number of the quantum gate in the quantum circuit.
Hanxu Zhang, Yifan Sun, Xiangdong Zhang
wiley +1 more source
Supergravity backgrounds of the η-deformed AdS2 × S2 × T6 and AdS5 × S5 superstrings
Journal of High Energy Physics, 2019 We construct supergravity backgrounds for the integrable η-deformations of the AdS2 × S2 × T6 and AdS5 × S5 superstring sigma models. The η-deformation is governed by an R-matrix that solves the non-split modified classical Yang-Baxter equation on the ...
Ben Hoare, Fiona K. Seibold
doaj +1 more source
t-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras [PDF]
Advances in Mathematics, 2023 M. Kashiwara, Se-jin Oh
semanticscholar +1 more source
Entropy rigidity for cusped Hitchin representations
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
wiley +1 more source