跳至主要内容

Irreducible Representations of Algebraic Group SL(6,K) in charK =3

Read full paper at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=51068#.VFMJamfHRK0

Author(s)
For each irreducible module  Xi Nanhua defined an element which generated this module. We use this element to construct a certain basis for and then compute dim  , determine its formal characters in this paper. In order to obtain faster speed we modify the algorithm to compute the irreducible characters.
Cite this paper
Zhou, Z. (2014) Irreducible Representations of Algebraic Group SL(6,K) in charK =3. Advances in Pure Mathematics, 4, 535-544. doi: 10.4236/apm.2014.410062. 
 

[1] Gilkey, P.B. and Seitz, G.M. (1988) Some Representations of Exceptional Lie Algebras. Geometriae Dedicata, 25, 407-416. http://dx.doi.org/10.1007/BF00191935
[2] Dowd, M. and Sin, P. (1996) On Representations of Algebraic Groups in Characteristic Two. Communications in Algebra, 24, 2597-2686. http://dx.doi.org/10.1007/BF00191935
[3] http://pi.math.virginia.edu/~lls2l/research_undergrad.htm
[4] http://math.rutgers.edu/~asbuch/dynkin/
[5] Lusztig, G. (1993) Introduction to Quantum Groups. Progress in Mathematics, 110, Birkháuser.
[6] Xi, N.H. (1996) Irreducible Modules of Quantized Enveloping Algebras at Roots of 1. Publ. RIMS, Kyoto Univ, 32, 235-276. http://dx.doi.org/10.2977/prims/1195162964
[7] Xu, B.X. and Ye, J.C. (1997) Irreducible Characters of Algebraic Groups in Characteristic Two (I). Algebra Colloquium, 4, 281-290.
[8] Ye, J.C. and Zhou, Z.G. (2000) Irreducible Characters of Algebraic Groups in Characteristic Two (III). Communications in Algebra, 28, 4227-4247. http://dx.doi.org/10.1080/00927870008827086
[9] Ye, J.C. and Zhou, Z.G. (2001) Irreducible Characters for Algebraic Groups in Characteristic Three. Communications in Algebra, 29, 201-223. http://dx.doi.org/10.1081/AGB-100000795
[10] Ye, J.C. and Zhou, Z.G. (2002) Irreducible Characters for Algebraic Groups in characteristic Three (II). Communications in Algebra, 30, 273-306. http://dx.doi.org/10.1081/AGB-120006491
[11] Jantzen, J.C. (1987) Representations of Algebraic Groups. Academic Press, Orlando.
[12] Andersen, H.H. (1980) The Strong Linkage Principle. Journal fur die Reine und Angewandte Mathematik, 315, 53-59.                     eww141031lx
标签：

评论

发表评论

此博客中的热门博文

Does Immigration Promote the Investment of the Monopolistic Firm?

In the present paper, we examine the effect of increasing uncertainty of immigrants’ growth on the optimal timing of investment of a firm that has a monopolistic power over the labor market. It is revealed that when the uncertainty of immigrants’ growth is more than a threshold level, increasing uncertainty of immigrants’ growth accelerates the optimal timing of firms’ investment and enhances the economic growth, even if the uncertainty of immigrants’ growth is formulated by the geometric Brownian motion, which is in sharp contrast to the standard result that an increase in the uncertainty postpones the optimal timing. With an increase in the immigrants over the past ten years, workforces in the host countries have been growing significantly to the extent that the immigrants represent 70% of the increase in the workforce in Europe, and 47% in the United States as OECD indicates. In the present paper, we attempted to investigate the effect of increased uncertainty caused by the growi...
发表评论
阅读全文

Education Policy Implementation: A Mechanism for Enhancing Primary Education Development in Zanzibar

Education is one of the fundamental rights of individuals; therefore, the government of a country needs to develop and strengthen educational policy and quality as well as to ensure that everyone has equal access to basic education. The improvement of access and quality of education in the world is becoming as an essential factor in development, whereas the basic education (primary school), is acknowledged as a foundation of the higher educational development for every country. To fulfill this goal, governments introduce several policies and procedures; however, it requires some reforms and participation from the politician, policymakers, and other stakeholders to re-examine educational policy so that it can lead to multiplication and betterment of the reforms. Educational reforms actually focus on accountability. A positive educational development and reform is very challenging and needs more effort and strategy on how to use and utilize the resources effectively as such it can achie...
发表评论
阅读全文