The module-algebra structures of quantum enveloping algebra Uq(sl(m+1)) on the coordinate algebra of quantum vector spaces (in other words, quantum actions/symmetries) are
investigated. We denote the coordinate algebra of quantum n-dimensional vector space by Aq(n). As our main result, first, we give a complete classification of module-algebra structures of Uq(sl(m+1)) on Aq(3), and with the same method, on Aq(2), all module-algebra structures of Uq(sl(m+1)) are characterized. The classical limit of the Uq(sl(3))-module algebra
structures on Aq(2) are presented, and, as opposite to Uq(sl(2)) case, there no cubic and fourth-power terms. Lastly, the module-algebra structures of Uq(sl(m+1)) on Aq(n) are obtained for any n ≥ 4, and are classified using the language of Dynkin diagrams.
The module-algebra structures of quantum enveloping algebra Uq(sl(m+1)) on the coordinate algebra of quantum vector spaces (in other words, quantum actions/symmetries) are
investigated. We denote the coordinate algebra of quantum n-dimensional vector space by Aq(n). As our main result, first, we give a complete classification of module-algebra structures of Uq(sl(m+1)) on Aq(3), and with the same method, on Aq(2), all module-algebra structures of Uq(sl(m+1)) are characterized. The classical limit of the Uq(sl(3))-module algebra
structures on Aq(2) are presented, and, as opposite to Uq(sl(2)) case, there no cubic and fourth-power terms. Lastly, the module-algebra structures of Uq(sl(m+1)) on Aq(n) are obtained for any n ≥ 4, and are classified using the language of Dynkin diagrams.
The joint task force of ACM and IEEE Computer Society released recent guidelines for undergraduate computer science majors late in 2013. Since that time, many computer science departments have reviewed the included recommendations and exemplars from various institutions, and made changes to the programs that they offer. In this panel, we will share the experiences of the panelists from a variety of computer science programs in reviewing and responding to the new curriculum guidelines. The panel hopes to generate additional discussion about new knowledge areas and models for incorporating recommended content into programs at small, liberal arts institutions.
The joint task force of ACM and IEEE Computer Society released recent guidelines for undergraduate computer science majors late in 2013. Since that time, many computer science departments have reviewed the included recommendations and exemplars from various institutions, and made changes to the programs that they offer. In this panel, we will share the experiences of the panelists from a variety of computer science programs in reviewing and responding to the new curriculum guidelines. The panel hopes to generate additional discussion about new knowledge areas and models for incorporating recommended content into programs at small, liberal arts institutions.
