Results 31 to 40 of about 2,471 (100)

Finiteness of Nichols Algebras and Nichols (Braided) Lie Algebras

, 2016
It is shown that if $\mathfrak B(V) $ is connected Nichols algebra of diagonal type with $\dim V>1$, then $\dim (\mathfrak L^-(V)) = \infty$ $($resp. $ \dim (\mathfrak L(V)) = \infty $$)$ $($ resp. $ \dim (\mathfrak B(V)) = \infty $$)$ if and only if $ (\mathfrak B(V)) $ is an arithmetic root system and the quantum numbers (i.e.
Wu, Weicai, Zhang, Shouchuan, Zhang, Yao-Zhong   +2 more
openaire   +2 more sources

Braided racks, Hurwitz actions and Nichols algebras with many cubic relations

, 2011
We classify Nichols algebras of irreducible Yetter-Drinfeld modules over groups such that the underlying rack is braided and the homogeneous component of degree three of the Nichols algebra satisfies a given inequality.
A Ardizzoni, A Hurwitz, A Klimyk, A. Lochmann, AN Kirillov, B Fischer, D Didt, E Brieskorn, F Sausset, GA García, I Angiono, I Heckenberger, I Heckenberger, I Heckenberger, I. Heckenberger, JI Hall, JS Carter, K Murasugi, L Krop, L. Vendramin, M Aschbacher, M Aschbacher, M Beattie, M Graña, M Graña, M Graña, M Mastnak, M Mombelli, M Rosso, N Andruskiewitsch, N Andruskiewitsch, N Andruskiewitsch, N Andruskiewitsch, N Andruskiewitsch, N Andruskiewitsch, N Andruskiewitsch, N Andruskiewitsch, N Andruskiewitsch, N Andruskiewitsch, N Andruskiewitsch, P Balister, P Schauenburg, S Fomin, SL Woronowicz, VK Kharchenko, WD Nichols, Y Bazlov   +46 more
core   +1 more source

Nichols algebras over classical Weyl groups [PDF]

Journal of Algebra and Its Applications, 2020
We show that except in several cases conjugacy classes of classical Weyl groups [Formula: see text] and [Formula: see text] are of type [Formula: see text]. We prove that except in three cases Nichols algebras of irreducible Yetter–Drinfeld (YD) modules over the classical Weyl groups are infinite dimensional.
Tan, Zhengtang, Wu, Weicai, Zhang, Shouchuan   +2 more
openaire   +2 more sources

Multiplier Left Hopf Algebras

Mathematics
In this paper, we introduce and study the notion of a multiplier left Hopf algebra, which can be seen as an extension of the Van Daele’s multiplier Hopf algebras and the Green–Nichols–Taft’s left Hopf algebras.
Chunxiao Yan, Shuanhong Wang
doaj   +1 more source

On Fomin--Kirillov Algebras for Complex Reflection Groups

, 2016
This note is an application of classification results for finite-dimensional Nichols algebras over groups. We apply these results to generalizations of Fomin--Kirillov algebras to complex reflection groups.
Laugwitz, Robert
core   +1 more source

(Co‐)Reference All the Way Down: A Unified Theory of (Pro) Nominals in Ordinary English

Theoria, EarlyView.
ABSTRACT This essay joins two themes, both arising from Kripke's inspiring ideas in the theory of reference. The first theme concerns reference in general. The second examines the notion of co‐reference and the role it plays in a unified theory of pronouns for natural language.
Jessica Pepp, Joseph Almog
wiley   +1 more source

Skein theory for the Links–Gould polynomial

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Building further on work of Marin and Wagner, we give a cubic braid‐type skein theory of the Links–Gould polynomial invariant of oriented links and prove that it can be used to evaluate any oriented link, adding this polynomial to the list of polynomial invariants that can be computed by skein theory. As a consequence, we prove that this skein
Stavros Garoufalidis, Matthew Harper, Rinat Kashaev, Ben‐Michael Kohli, Jiebo Song, Guillaume Tahar   +5 more
wiley   +1 more source

Exploring the Interior Structure of (16) Psyche Through Basin‐Scale Collisions

Journal of Geophysical Research: Planets, Volume 131, Issue 3, March 2026.
Abstract Asteroid (16) Psyche, the largest member of the M/X‐type asteroids, may be the leftover core of a differentiated planetesimal. As such (16) Psyche will be explored in detail by NASA's discovery‐class Psyche mission in 2029. This will be the first mission to orbit a metal‐rich asteroid, or any asteroid in the 100–500 km size range.
Namya Baijal, Erik Asphaug, C. Adeene Denton, Martin Jutzi, Sabina Raducan, Saverio Cambioni, Linda T. Elkins‐Tanton, Amanda Alexander   +7 more
wiley   +1 more source

On Hopf Algebras over quantum subgroups

, 2018
Using the standard filtration associated with a generalized lifting method, we determine all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero whose coradical generates a Hopf subalgebra isomorphic to the smallest
Garcia, Gaston Andres, Giraldi, Joao Matheus Jury   +1 more
core   +1 more source

Modeling Interactions and Dynamic Saturation Processes in Karst Media

Water Resources Research, Volume 62, Issue 2, February 2026.
Abstract The simulation of karst aquifers is highly challenging due to complex conduit‐matrix interactions. This study utilizes KarstFOAM, a high‐fidelity, physics‐based numerical model, to address these challenges. KarstFOAM integrates (a) a unified single‐domain Forchheimer–Darcy–Brinkman–Stokes (FDBS) formulation that transitions naturally across ...
Fuyun Huang, Yuan Gao, Liangjie Zhao, Dingbao Wang, Xiaonong Hu, Xiaoguang Wang   +5 more
wiley   +1 more source