Skip to Main Content
 

Global Search Box

 
 
 
 

Files

File List


Thesis_TY.pdf (466.92 KB)

ETD Abstract Container

Abstract Header

Explicit Realization of Hopf Cyclic Cohomology Classes of Bicrossed Product Hopf Algebras

Yang, Tao
http://rave.ohiolink.edu/etdc/view?acc_num=osu1440166022

Abstract Details

2015, Doctor of Philosophy, Ohio State University, Mathematics.
We construct a Hopf action, with an invariant trace, of a bicrossed product Hopf algebra $\cH=\big( \cU(\Fg_1) \acr \cR(G_2) \big)^{\cop}$ constructed from a matched pair of Lie groups $G_1$ and $G_2$, on a convolution algebra $\cA=C_c^{\ify}(G_1)\rtimes G_2^{\delta}$. We give an explicit way to construct Hopf cyclic cohomology classes of our Hopf algebra $\cH$ and then realize these classes in terms of explicit representative cocycles in the cyclic cohomology of the convolution algebra $\cA$.
Henri Moscovici (Advisor)
75 p.
Mathematics
Hopf Cyclic Cohomology, Bicrossed Product

Recommended Citations

Citations

  • Yang, T. (2015). Explicit Realization of Hopf Cyclic Cohomology Classes of Bicrossed Product Hopf Algebras [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1440166022

    APA Style (7th edition)

  • Yang, Tao. Explicit Realization of Hopf Cyclic Cohomology Classes of Bicrossed Product Hopf Algebras. 2015. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1440166022.

    MLA Style (8th edition)

  • Yang, Tao. "Explicit Realization of Hopf Cyclic Cohomology Classes of Bicrossed Product Hopf Algebras." Doctoral dissertation, Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1440166022

    Chicago Manual of Style (17th edition)

osu1440166022
549
© 2015, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.