Results 11 to 20 of about 152,745 (261)

Staggered and affine Kac modules over A1(1)

open access: yesNuclear Physics B, 2020
This work concerns the representation theory of the affine Lie algebra A1(1) at fractional level and its links to the representation theory of the Virasoro algebra.
Jørgen Rasmussen
doaj   +1 more source

Uncertainty Modeling and Robust Output Feedback Control of Nonlinear Discrete Systems: A Mathematical Programming Approach [PDF]

open access: yesModeling, Identification and Control, 2001
We present a mathematical programming approach to robust control of nonlinear systems with uncertain, possibly time-varying, parameters. The uncertain system is given by different local affine parameter dependent models in different parts of the state ...
Olav Slupphaug   +2 more
doaj   +1 more source

McKay Centralizer Algebras [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
For a finite subgroup G of the special unitary group SU2, we study the centralizer algebra Zk(G) = EndG(V⊗k) of G acting on the k-fold tensor product of its defining representation V = C2.
Georgia Benkart, Tom Halverson
doaj   +1 more source

Symmetric deformed 2D/3D Hurwitz–Kontsevich model and affine Yangian of $${\mathfrak {gl}}(1)$$ gl ( 1 )

open access: yesEuropean Physical Journal C: Particles and Fields, 2023
Since the ( $$\beta $$ β -deformed) Hurwitz Kontsevich model corresponds to the special case of affine Yangian of $${\mathfrak {gl}}(1)$$ gl ( 1 ) . In this paper, we construct two general cases of the $$\beta $$ β -deformed Hurwitz Kontsevich model.
Wang Na, Wu Ke
doaj   +1 more source

Gluing affine Yangians with bi-fundamentals

open access: yesJournal of High Energy Physics, 2020
The affine Yangian of gl 1 $$ {\mathfrak{gl}}_1 $$ is isomorphic to the universal enveloping algebra of W 1 + ∞ $$ {\mathcal{W}}_{1+\infty } $$ and can serve as a building block in the construction of new vertex operator algebras. In [1], a two-parameter
Wei Li
doaj   +1 more source

Aiding Dictionary Learning Through Multi-Parametric Sparse Representation

open access: yesAlgorithms, 2019
The ℓ 1 relaxations of the sparse and cosparse representation problems which appear in the dictionary learning procedure are usually solved repeatedly (varying only the parameter vector), thus making them well-suited to a multi-parametric ...
Florin Stoican, Paul Irofti
doaj   +1 more source

Ray casting implicit fractal surfaces with reduced affine arithmetic [PDF]

open access: yes, 2007
A method is presented for ray casting implicit surfaces defined by fractal combinations of procedural noise functions. The method is robust and uses affine arithmetic to bound the variation of the implicit function along a ray.
Gamito, M.N., Maddock, S.C.
core   +2 more sources

Noncomplete affine structures on Lie algebras of maximal class

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
Every affine structure on Lie algebra 𝔤 defines a representation of 𝔤 in aff(ℝn). If 𝔤 is a nilpotent Lie algebra provided with a complete affine structure then the corresponding representation is nilpotent.
E. Remm, Michel Goze
doaj   +1 more source

Noncanonical quantization of gravity. II. Constraints and the physical Hilbert space [PDF]

open access: yes, 2001
The program of quantizing the gravitational field with the help of affine field variables is continued. For completeness, a review of the selection criteria that singles out the affine fields, the alternative treatment of constraints, and the choice of ...
John R. Klauder   +8 more
core   +3 more sources

Graphical Calculus for the Double Affine Q-Dependent Braid Group [PDF]

open access: yes, 2013
We define a double affine $Q$-dependent braid group. This group is constructed by appending to the braid group a set of operators $Q_i$, before extending it to an affine $Q$-dependent braid group.
Burella, Glen   +3 more
core   +4 more sources

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