Koszulity of the operad <inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mi mathvariant="normal">𝒜</mi><msup><mrow><mi>s</mi></mrow><mrow><mi mathvariant="normal">L</mi><mi mathvariant="normal">C</mi></mrow></msup></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/C1A5CAB3-B5DE-407c-9B8C-847732D0C613-M001.jpg"><?fx-imagestate width="9.90600014" height="4.82600021"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/C1A5CAB3-B5DE-407c-9B8C-847732D0C613-M001c.jpg"><?fx-imagestate width="9.90600014" height="4.82600021"?></graphic></alternatives></inline-formula>■<inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mi mathvariant="normal">𝒟</mi><mi>e</mi><mi>n</mi><mi>d</mi></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/C1A5CAB3-B5DE-407c-9B8C-847732D0C613-M002.jpg"><?fx-imagestate width="12.19200039" height="3.97933316"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/C1A5CAB3-B5DE-407c-9B8C-847732D0C613-M002c.jpg"><?fx-imagestate width="12.19200039" height="3.97933316"?></graphic></alternatives></inline-formula>

FAN Xinman; GAO Xing; ZHANG Zhaotai

doi:10.13471/j.cnki.acta.snus.2022A050

您当前的位置：

首页 >

文章列表页 >

Koszulity of the operad

𝒜 s^{L C}

■

𝒟 e n d

Research articles | 更新时间：2023-12-08

- Koszulity of the operad $𝒜 s^{L C}$ ■ $𝒟 e n d$
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 62, Issue 6, Pages: 135-142(2023)
- 作者机构：
  
  1.兰州财经大学信息工程与人工智能学院，甘肃兰州730101
  2.兰州大学数学与统计学院，甘肃兰州 730000
  3.甘肃省数学与统计学基础学科研究中心，甘肃兰州 730070
  4.青海民族大学数学与统计学院，青海西宁 810007
  5.兰州大学萃英学院，甘肃兰州 730000
- 作者简介：
  
  FAN Xinman（fanxm@lzufe.edu.cn）
  GAO Xing（gaoxing@lzu.edu.cn）
  ZHANG Zhaotai（zhtzhang18@lzu.edu.cn）
- 基金信息：
- DOI：10.13471/j.cnki.acta.snus.2022A050
  CLC： O153.3
- Published：25 November 2023，
  
  Published Online：31 August 2023，
  
  Received：31 May 2022，
  
  Accepted：22 March 2023
扫描看全文
樊馨蔓,高兴,张兆泰.Operad 𝒜sLC■𝒟end的Koszul性[J].中山大学学报(自然科学版),2023,62(06):135-142.

FAN Xinman,GAO Xing,ZHANG Zhaotai.Koszulity of the operad 𝒜sLC■𝒟end[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2023,62(06):135-142.
樊馨蔓,高兴,张兆泰.Operad 𝒜sLC■𝒟end的Koszul性[J].中山大学学报(自然科学版),2023,62(06):135-142. DOI： 10.13471/j.cnki.acta.snus.2022A050.

FAN Xinman,GAO Xing,ZHANG Zhaotai.Koszulity of the operad 𝒜sLC■𝒟end[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2023,62(06):135-142. DOI： 10.13471/j.cnki.acta.snus.2022A050.

Koszulity of the operad

𝒜 s^{L C}

■

𝒟 e n d

PDF Download

摘要

用重写系统的方法证明了operad

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51095177&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51095171&type=

15.66333294

2.87866688

是Koszul的，其中

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51095181&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51095180&type=

16.34066582

2.87866688

是结合operad

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51095192&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51095190&type=

4.31799984

2.45533323

的线性相容operad和叶型operad

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51095203&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51095186&type=

6.85799980

2.28600001

的Manin 黑方积.

Abstract

The Koszulity of the operad

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51095302&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51095300&type=

6.51933336

3.21733332

■

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51096213&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51096211&type=

8.04333401

2.62466669

in terms of the method of rewriting systems is proven

where

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51096205&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51096208&type=

6.51933336

3.21733332

■

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51096213&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51096211&type=

8.04333401

2.62466669

is the Manin black product of the linear compatible operad of the associative

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51095157&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51095156&type=

4.23333359

2.87866688

and the dendriform operad

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51095169&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=51095168&type=

8.04333401

2.62466669

关键词

operadKoszul性线性相容operad叶型operadManin黑方积

Keywords

operadKoszulitylinear compatible operaddendriform operadManin black product

references

BAADER F， NIPKOW T， 1998. Term rewriting and all that［M］. Cambridge： Cambridge University Press.

EBRAHIMI-FARD K， GUO L， 2005. On products and duality of binary， quadratic， regular operads［J］. J Pure Appl Algebra， 200（3）： 293-317.

LODAY J L， 1993. Une version non commutative des algèbres de Lie： Les algèbres de Leibniz［J］. Ens Math， 39 ： 269-289.

LODAY J L， VALLETTE B， 2012. Algebraic operads［M］. Berlin： Springer.

ODESSKII A， SOKOLOV V， 2006. Algebraic structures connected with pairs of compatible associative algebras［J］. Int Math Res Notices， 2006： 43734.

ODESSKII A， SOKOLOV V， 2008. Pairs of compatible associative algebras， classical Yang-Baxter equation and quiver representations［J］.Commun Math Phys， 278（1）： 83-99.

STROHMAYER H， 2008. Operads of compatible structures and weighted partitions［J］. J Pure Appl Algebra， 212（11）： 2522-2534.

VALLETTE B， 2008. Manin products， Koszul duality， Loday algebras and Deligne conjecture［J］. Reine Angew Math， 620： 105-164.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

No data

Related Author

No data

Related Institution

No data

Postal code：510275
Tel：020-84112585，84113223 Email：xuebaozr@mail.sysu.edu.cn
Technical support is provided by Beijing Founder electronics co., LTD 京ICP备09064830号-19 京公网安备11010802024621
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰

Koszulity of the operad 𝒜sLC■𝒟end

DOI：10.13471/j.cnki.acta.snus.2022A050

摘要

Abstract

关键词

Keywords

references

Koszulity of the operad $𝒜 s^{L C}$ ■ $𝒟 e n d$