Lower bounds of growth of Hopf algebras
From MaRDI portal
Publication:2847129
DOI10.1090/S0002-9947-2013-05793-5zbMath1286.16030arXiv1101.1116OpenAlexW2045312478MaRDI QIDQ2847129
Guangbin Zhuang, Dingguo Wang, James J. Zhang
Publication date: 4 September 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1101.1116
group-like elementsGelfand-Kirillov dimensionskew primitive elementsfinitely generated Hopf algebrasgrowth of Hopf algebras
Growth rate, Gelfand-Kirillov dimension (16P90) Ring-theoretic aspects of quantum groups (16T20) Hopf algebras and their applications (16T05)
Related Items
Classification of affine prime regular Hopf algebras of GK-dimension one., The finite dual of commutative-by-finite Hopf algebras, Quantum binary polyhedral groups and their actions on quantum planes, On endomorphisms of crossed products, NON-AFFINE HOPF ALGEBRA DOMAINS OF GELFAND–KIRILLOV DIMENSION TWO, Hopf algebras of GK-dimension two with vanishing Ext-group, Filtered Hopf algebras and counting geodesic chords, A classification result on prime Hopf algebras of GK-dimension one, Primitive cohomology of Hopf algebras, Connected Hopf algebras of Gelfand-Kirillov dimension four
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two.
- Existence of Hopf subalgebras of GK-dimension two.
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- The diamond lemma for ring theory
- Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension
- Lectures on algebraic quantum groups
- Regularity of involutory PI Hopf algebras.
- An operator-theoretic approach to invariant integrals on quantum homogeneous \(\text{SU}_{n,1}\)-spaces
- Prime regular Hopf algebras of GK-dimension one
- Noetherian PI Hopf algebras are Gorenstein
- A characterization of quantum groups
- Affine algebras of Gelfand-Kirillov dimension one are PI
- Homological properties of quantized coordinate rings of semisimple groups
- Homological integral of Hopf algebras
- Noetherian Hopf algebras