Making Sullivan Algebras Minimal Through Chain Contractions

نویسندگان

چکیده

In this note, we provide an algorithm that, starting with a Sullivan algebra gives us its minimal model. More concretely, taking as input (non-minimal) A ordered finite set of generators preserving the filtration defined on A, obtain output same rational cohomology A. This is kind modified AT-model used, in past, to compute chain contraction providing other kinds topological information such (co)homology, cup products and persistent homology.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Singular Contractions of W - Algebras

Many W-algebras (e.g. the W N algebras) are consistent for all values of the central charge except for a discrete set of exceptional values. We show that such algebras can be contracted to new consistent degenerate algebras at these exceptional values of the central charge.

متن کامل

Deformations and contractions of Lie algebras

We discuss the mutually opposite procedures of deformations and contractions of Lie algebras. Our main purpose is to illustrate the fact that, with appropriate combinations of both procedures, we obtain new Lie algebras. Firstly, we discuss low-dimensional Lie algebras, and these simple examples illustrate that, whereas for every contraction there exists a reverse deformation, the converse is n...

متن کامل

Some Comments on Contractions of Lie Algebras

We prove that two of the counterexamples of contractions inequivalent to a generalized Inönü-Wigner contraction exhibited in [1] are incorrect. An alternative characterization of general contractions is proposed.

متن کامل

On Deformations and Contractions of Lie Algebras

In this contributed presentation, we discuss and compare the mutually opposite procedures of deformations and contractions of Lie algebras. We suggest that with appropriate combinations of both procedures one may construct new Lie algebras. We first discuss low-dimensional Lie algebras and illustrate thereby that whereas for every contraction there exists a reverse deformation, the converse is ...

متن کامل

Simple completable contractions of nilpotent Lie algebras

We study a certain class of non-maximal rank contractions of the nilpotent Lie algebra gm and show that these contractions are completable Lie algebras. As a consequence a family of solvable complete Lie algebras of non-maximal rank is given in arbitrary dimension. . AMS Math. Subj. Class. 17B10, 17B30.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mediterranean Journal of Mathematics

سال: 2021

ISSN: ['1660-5454', '1660-5446']

DOI: https://doi.org/10.1007/s00009-020-01670-9