Cyclic orders on the quantum grassmannian

Joint Authors

Lenagan, T. H.
Russell, E. J.

Source

The Arabian Journal for Science and Engineering. Section C, Theme issues

Issue

Vol. 33, Issue 2C(s) (31 Dec. 2008), pp.337-350, 14 p.

Publisher

King Fahd University of Petroleum and Minerals

Publication Date

2008-12-31

Country of Publication

Saudi Arabia

No. of Pages

14

Main Subjects

Mathematics

Topics

Abstract AR

من المعروف أن غراسمانية الكم هي جبرية كم مدرجة مع قانون تعديل، عندما تزود مجموعة مولدات الكم الصغرى المرتبة جزئيا بالترتيب الجزئي القياسي.

سنبين في هذا البحث أن هذه النتيجة تبقى صحيحة عندما يخضع هذا الترتيب لإزاحات دورية.

تستلزم هذه الطريقة إثبات أن اللاتجانس غير الإبدالي ممكن عند أي عنصر كم لاحق أصغر.

Abstract EN

The quantum grassmannian is known to be a graded quantum algebra with a straightening law when the poset of generating quantum minors is endowed with the standard partial ordering.

In this paper it is shown that this result remains true when the ordering is subjected to cyclic shifts.

The method involves proving that noncommutative dehomogenization is possible at any consecutive quantum minor.

American Psychological Association (APA)

Lenagan, T. H.& Russell, E. J.. 2008. Cyclic orders on the quantum grassmannian. The Arabian Journal for Science and Engineering. Section C, Theme issues،Vol. 33, no. 2C(s), pp.337-350.
https://search.emarefa.net/detail/BIM-359125

Modern Language Association (MLA)

Lenagan, T. H.& Russell, E. J.. Cyclic orders on the quantum grassmannian. The Arabian Journal for Science and Engineering. Section C, Theme issues Vol. 33, no. 2C(s) (Dec. 2008), pp.337-350.
https://search.emarefa.net/detail/BIM-359125

American Medical Association (AMA)

Lenagan, T. H.& Russell, E. J.. Cyclic orders on the quantum grassmannian. The Arabian Journal for Science and Engineering. Section C, Theme issues. 2008. Vol. 33, no. 2C(s), pp.337-350.
https://search.emarefa.net/detail/BIM-359125

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 350

Record ID

BIM-359125