Results 71 to 80 of about 2,471 (100)

Some remarks on Nichols algebras

, 2003
Two algebras can be attached to a braided vector space $(V, c)$ in an intrinsic way; the FRT-bialgebra and the Nichols algebra $\toba(V, c)$. The FRT-bialgebra plays the r le of the algebra of quantum matrices, whereas the r le of the Nichols algebra is less understood. Some authors call $\toba(V)$ a quantum symmetric algebra.
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Reflection of Nichols Algebras over Coquasi-Hopf Algebras

This paper extends the foundational reflection theory of Nichols algebras to the setting of some certain coquasi-Hopf algebras. Our primary motivation arises from the classification of pointed finite-dimensional coquasi-Hopf algebras. We develop a reflection theory for tuples of simple Yetter-Drinfeld modules in the category $\GG$, where $G$ is a ...
Li, Bowen, Liu, Gongxiang
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Verifiability in computer-aided research: the role of digital scientific notations at the human-computer interface. [PDF]

PeerJ Comput Sci, 2018
Hinsen K.
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Nichols algebras of U_q(g)-modules

, 2004
A technique is developed to reduce the investigation of Nichols algebras of integrable U_q(g)-modules to the investigation of Nichols algebras of braided vector spaces with diagonal braiding. The results are applied to obtain information on the Gelfan'd-Kirillov dimension of these Nichols algebras and their defining relations if the braiding is of a ...
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On Nichols algebras of low dimension

, 2000
This is a contribution to the classification program of pointed Hopf algebras. We give a generalization of the quantum Serre relations and propose a generalization of the Frobenius-Lusztig kernels in order to compute Nichols algebras of diagonal group type.
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Nichols algebras of diagonal type [PDF]

, 2020
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Algebras de Nichols de tipo diagonal

, 2011
Tesis (Doctor en Matemática)--Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física, 2011.
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Nichols algebras over weak Hopf algebras

Applied Mathematics-A Journal of Chinese Universities, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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