Real forms of complex reductive groups acting on quasiaffine varieties

Wanita memiliki peran yang signifikan untuk ikut berperan aktif dan produktif dalam perekonomian. Masyarakat menjadi produktif sehingga dapat meningkatkan derajat dan taraf hidup serta meningkatkan kesejahteraan keluarga.Berwirausaha menjadi pilihan perempuan untuk dapat bekerja membantu perekonomian keluarga dan koperasi merupakan salah satu perwujudannya.Koperasi merupakan salah satu bentuk nyata dari pengamalan pancasila.Untuk mendukung majunya koperasi perlu adanya sosialisasi kewirausahaan ke anggota koperasi khususnya wanita.Koperasi wanita mempunyai karakteristik khas yang berbeda dengan koperasi pada umumnya sehingga membutuhkan pendekatan strategi pengembangan yang berbeda pula. Hal ini tak bisa terlepas dari karakteristik anggotanya di dominasi oleh ibu rumah tangga yang menyebabkan keunggulan tersendiri dibandingkan koperasi lain.Adapun tujuannya untuk membuka dan menumbuhkan jiwa usaha sehingga anggota dapat membantu mensejahterakan dirinya serta keluarga. Studi ini diawali dengan observasi kepada anggota koperasi yang bekerja hanya sebagai ibu rumah tangga.Sosialisasi diberikan dalam satu tahap mengenai motivasi usaha dan wirausaha.Pelatihan ini memberikan dampak positif bagi peningkatan motivasi, pengetahuan dan ketrampilan anggota koperasi wanita Tanah Abang. Women have a significant role to play an active and productive role in the economy. The community becomes productive so that it can improve the degree and standard of living and improve family welfare. Entrepreneurship is the choice of women to be able to work to help the family economy and cooperatives is one of its manifestations. Cooperatives are one of the real forms of Pancasila practice. To support the advancement of cooperatives, there needs to be entrepreneurial dissemination to cooperative members, especially women. Women's cooperatives have distinctive characteristics that are different from cooperatives in general so that they require a different development strategy approach. This cannot be separated from the characteristics of its members who are dominated by housewives which causes its own superiority compared to other cooperatives. The purpose is to open and grow the business spirit so that members can help the welfare of themselves and their families. This study begins with observations to cooperative members who work only as housewives. Socialization is given in one stage regarding business motivation and entrepreneurship. This training has a positive impact on increasing the motivation, knowledge and skills of members of the Tanah Abang women's cooperative.Keywords: Women; Cooperative; Entrepreneurship

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Białynicki-Birula decomposition for reductive groups in positive characteristic

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2021.05.010 ◽

2021 ◽

Author(s):

Joachim Jelisiejew ◽

Łukasz Sienkiewicz

Keyword(s):

Positive Characteristic ◽

Reductive Groups

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STEENROD OPERATIONS ON THE DE RHAM COHOMOLOGY OF ALGEBRAIC STACKS

Journal of the Institute of Mathematics of Jussieu ◽

10.1017/s1474748021000177 ◽

2021 ◽

pp. 1-48

Author(s):

Federico Scavia

Keyword(s):

Finite Groups ◽

Reductive Groups ◽

Orthogonal Groups ◽

De Rham Cohomology ◽

Algebraic Stacks ◽

Steenrod Operations ◽

De Rham

Abstract Building upon work of Epstein, May and Drury, we define and investigate the mod p Steenrod operations on the de Rham cohomology of smooth algebraic stacks over a field of characteristic $p>0$ . We then compute the action of the operations on the de Rham cohomology of classifying stacks for finite groups, connected reductive groups for which p is not a torsion prime and (special) orthogonal groups when $p=2$ .

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The Real Forms of the Fractional Supergroup SL(2,C)

Mathematics ◽

10.3390/math9090933 ◽

2021 ◽

Vol 9 (9) ◽

pp. 933

Author(s):

Yasemen Ucan ◽

Resat Kosker

Keyword(s):

Quantum Group ◽

Lie Group ◽

The Real ◽

And Mathematics ◽

Real Forms

The real forms of complex groups (or algebras) are important in physics and mathematics. The Lie group SL2,C is one of these important groups. There are real forms of the classical Lie group SL2,C and the quantum group SL2,C in the literature. Inspired by this, in our study, we obtain the real forms of the fractional supergroups shown with A3NSL2,C, for the non-trivial N = 1 and N = 2 cases, that is, the real forms of the fractional supergroups A31SL2,C and A32SL2,C.

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