Results 31 to 40 of about 1,593,546 (194)
Finite Quantum Groups and Cartan Matrices [PDF]
, 2000 We consider a class of Hopf algebras having as an invariant a generalized Cartan matrix. For a Hopf algebra of this kind, we prove that it is finite dimensional if and only if its generalized Cartan matrix is actually a finite Cartan matrix (under some ...
Andruskiewitsch, Nicolás +1 more
core +1 more source
Nuclear Physics BThe masses of affine Toda theories are known to correspond to the entries of a Perron-Frobenius eigenvector of the relevant Cartan matrix. The Lagrangian of the theory can be expressed in terms of a suitable eigenvector of a Coxeter element in the Weyl ...
Martin T. Luu
doaj +1 more source
Advances in Mathematical Physics, 2018 We consider generalized Melvin-like solutions associated with nonexceptional Lie algebras of rank 4 (namely, A4, B4, C4, and D4) corresponding to certain internal symmetries of the solutions.
S. V. Bolokhov, V. D. Ivashchuk
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On generalized Melvin solution for the Lie algebra $$E_6$$ E6
European Physical Journal C: Particles and Fields, 2017 A multidimensional generalization of Melvin’s solution for an arbitrary simple Lie algebra $${\mathcal {G}}$$ G is considered. The gravitational model in D dimensions, $$D \ge 4$$ D≥4 , contains n 2-forms and $$l \ge n$$ l≥n scalar fields, where n is the
S. V. Bolokhov, V. D. Ivashchuk
doaj +1 more source
Gibbons–Tsarev Type Systems and Eventual Identities
Studies in Applied Mathematics, Volume 157, Issue 4, October 2026.ABSTRACT We show that non‐diagonalizable reductions of the dKP equation associated with regular non‐semisimple F$F$‐manifolds cannot exist. The proof is based on the derivation and study of a generalized Gibbons–Tsarev system (gGT system) in the non‐semisimple/non‐diagonalizable setting.
Alessandro Arsie +3 more
wiley +1 more source
The roots of exceptional modular Lie superalgebras with Cartan matrix [PDF]
, 2019 For each of the exceptional Lie superalgebras with indecomposable Cartan matrix, we give the explicit list of its roots of and the corresponding Chevalley basis for one of the inequivalent Cartan matrices, the one corresponding to the greatest number of ...
Leites, Dimitry +3 more
core +1 more source
On characterizations of g n-helices with Euler angles
Open MathematicsCurvature and torsion, in their most general forms, are defined in terms of Euler angle-based parametrization via the Cartan matrix, which leads to the Serret-Frenet equations.
Altinok Mesut, Kula Levent
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bk$b^k$‐Algebroids and the variety of foliation jets
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We introduce and classify singular foliations of bk+1$b^{k+1}$‐type, which formalize the properties of vector fields that are tangent to a submanifold W⊂M$W \subset M$ to order k$k$. When W$W$ is a hypersurface, these structures are Lie algebroids generalizing the bk+1$b^{k+1}$‐tangent bundles introduced by Scott.
Francis Bischoff +2 more
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
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Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.A new physics‐informed compilation framework bridges the gap between theoretical quantum simulations and noisy NISQ hardware. By combining native qubit placement with adaptive, variational circuit synthesis, this approach drastically reduces circuit depth and circumvents device noise, unlocking high‐fidelity quantum simulations on current processors ...
F. S. Luiz +2 more
wiley +1 more source