Skip to main content Accessibility help
×
×
Home
Quantum Groups
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 22
  • Cited by
    This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Clementino, Maria Manuel Gran, Marino and Janelidze, George 2018. Some remarks on protolocalizations and protoadditive reflections. Journal of Algebra and Its Applications, Vol. 17, Issue. 11, p. 1850207.

    Böhm, Gabriella 2018. Hopf Algebras and Their Generalizations from a Category Theoretical Point of View. Vol. 2226, Issue. , p. 47.

    Duncan, Ross and Dunne, Kevin 2016. Interacting Frobenius Algebras are Hopf. p. 535.

    Gran, Marino Kadjo, Gabriel and Vercruysse, Joost 2016. A Torsion Theory in the Category of Cocommutative Hopf Algebras. Applied Categorical Structures, Vol. 24, Issue. 3, p. 269.

    Poinsot, Laurent and Porst, Hans-E. 2016. The Dual Rings of anR-Coring Revisited. Communications in Algebra, Vol. 44, Issue. 3, p. 944.

    Porst, Hans-E. and Street, Ross 2016. Generalizations of the Sweedler Dual. Applied Categorical Structures, Vol. 24, Issue. 5, p. 619.

    Porst, Hans-E. 2015. The formal theory of hopf algebras Part I: Hopf monoids in a monoidal category. Quaestiones Mathematicae, Vol. 38, Issue. 5, p. 631.

    Poinsot, Laurent and Porst, Hans-E. 2015. Free Monoids over Semigroups in a Monoidal Category: Construction and Applications. Communications in Algebra, Vol. 43, Issue. 11, p. 4873.

    Porst, Hans-E. 2015. The formal theory of Hopf algebras Part II: The case of Hopf algebras. Quaestiones Mathematicae, Vol. 38, Issue. 5, p. 683.

    Abuhlail, Jawad Y. and Al-Sulaiman, Nabeela 2015. Hopf Semialgebras. Communications in Algebra, Vol. 43, Issue. 3, p. 1241.

    Lawson, Mark V. and Wallis, Alistair R. 2015. A correspondence between a class of monoids and self-similar group actions II. International Journal of Algebra and Computation, Vol. 25, Issue. 04, p. 633.

    Gerhold, Malte and Lachs, Stephanie 2015. Classification and GNS-construction for general universal products. Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol. 18, Issue. 01, p. 1550004.

    Melliès, Paul-André 2013. Computation, Logic, Games, and Quantum Foundations. The Many Facets of Samson Abramsky. Vol. 7860, Issue. , p. 197.

    HASEGAWA, MASAHITO 2012. A quantum double construction in Rel. Mathematical Structures in Computer Science, Vol. 22, Issue. 04, p. 618.

    Coecke, Bob and Spekkens, Robert W. 2012. Picturing classical and quantum Bayesian inference. Synthese, Vol. 186, Issue. 3, p. 651.

    Porst, Hans-E. 2012. Free Internal Groups. Applied Categorical Structures, Vol. 20, Issue. 1, p. 31.

    Coecke, Bob Duncan, Ross Kissinger, Aleks and Wang, Quanlong 2012. Strong Complementarity and Non-locality in Categorical Quantum Mechanics. p. 245.

    Došen, Kosta and Petrić, Zoran 2012. Symmetric Self-adjunctions and Matrices. Algebra Colloquium, Vol. 19, Issue. spec01, p. 1051.

    Chikhladze, Dimitri 2012. The Tannaka Representation Theorem for Separable Frobenius Functors. Algebras and Representation Theory, Vol. 15, Issue. 6, p. 1205.

    Coecke, Bob and Edwards, Bill 2011. Three qubit entanglement within graphical Z/X-calculus. Electronic Proceedings in Theoretical Computer Science, Vol. 52, Issue. , p. 22.

    ×

Book description

Algebra has moved well beyond the topics discussed in standard undergraduate texts on 'modern algebra'. Those books typically dealt with algebraic structures such as groups, rings and fields: still very important concepts! However Quantum Groups: A Path to Current Algebra is written for the reader at ease with at least one such structure and keen to learn algebraic concepts and techniques. A key to understanding these new developments is categorical duality. A quantum group is a vector space with structure. Part of the structure is standard: a multiplication making it an 'algebra'. Another part is not in those standard books at all: a comultiplication, which is dual to multiplication in the precise sense of category theory, making it a 'coalgebra'. While coalgebras, bialgebras and Hopf algebras have been around for half a century, the term 'quantum group', along with revolutionary new examples, was launched by Drinfel'd in 1986.

Reviews

Refine List
Actions for selected content:
Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Send to Kindle
  • Send to Dropbox
  • Send to Google Drive
  • Send content to

    To send content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to .

    To send content items to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle.

    Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

    Find out more about the Kindle Personal Document Service.

    Please be advised that item(s) you selected are not available.
    You are about to send
    ×

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
×

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed