Wild problems in the theory of representations of *-algebras generated by generatrices and relations
Two definitions of wild *-algebras are considered from the point of view of the theory of representations. We present methods for proving the fact that a *-algebra is wild. It is also shown that if a algebra isp-wild, then it isf-wild. The converse statement is not true.
Saved in:
| Date: | 1995 |
|---|---|
| Main Authors: | Piryatinskaya, A. Yu., Samoilenko, Yu. S., Пирятинская, А. Ю., Самойленко, Ю. С. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5384 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Periodic groups are not *-wild
by: Kalutskii, S. A., et al.
Published: (1997)
by: Kalutskii, S. A., et al.
Published: (1997)
Дикие задачи теории представлений *-алгебр, порожденных образующими и соотношениями
by: Пирятинская, А.Ю., et al.
Published: (1995)
by: Пирятинская, А.Ю., et al.
Published: (1995)
On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors
by: Popovich, S. V., et al.
Published: (2003)
by: Popovich, S. V., et al.
Published: (2003)
On C*-Algebras Generated by Deformations of CCR
by: Kabluchko, Z. A., et al.
Published: (2004)
by: Kabluchko, Z. A., et al.
Published: (2004)
On pairs of unbounded self-adjoint operators satisfying an algebraic relation
by: Ostrovskii, V. L., et al.
Published: (1993)
by: Ostrovskii, V. L., et al.
Published: (1993)
On wildness of idempotent generated algebras associated with extended Dynkin diagrams
by: Bondarenko, V.M.
Published: (2004)
by: Bondarenko, V.M.
Published: (2004)
On wildness of idempotent generated algebras associated with extended Dynkin diagrams
by: Bondarenko, Vitalij M.
Published: (2018)
by: Bondarenko, Vitalij M.
Published: (2018)
On the identities in algebras generated by linearly connected idempotents
by: Rabanovych, V. I., et al.
Published: (2004)
by: Rabanovych, V. I., et al.
Published: (2004)
On Identities in Algebras $Q_{n,λ}$ Generated by Idempotents
by: Rabanovych, V. I., et al.
Published: (2001)
by: Rabanovych, V. I., et al.
Published: (2001)
On the *-representation of one class of algebras associated with Coxeter graphs
by: Popova, N. D., et al.
Published: (2008)
by: Popova, N. D., et al.
Published: (2008)
Eigen-functions decomposition of commutated operators’ families and representations of commutational relations
by: Berezansky, Yu. M., et al.
Published: (1987)
by: Berezansky, Yu. M., et al.
Published: (1987)
On fully wild categories of representations of posets
by: Kasjan, S.
Published: (2006)
by: Kasjan, S.
Published: (2006)
On fully wild categories of representations of posets
by: Kasjan, Stanislaw
Published: (2018)
by: Kasjan, Stanislaw
Published: (2018)
On the minimal system of generatrices in the full automorphism group of a binary rooted tree
by: Ya. V. Lavreniuk
Published: (2012)
by: Ya. V. Lavreniuk
Published: (2012)
Derived tame and derived wild algebras
by: Drozd, Y.A.
Published: (2004)
by: Drozd, Y.A.
Published: (2004)
Derived tame and derived wild algebras
by: Drozd, Yuriy A.
Published: (2018)
by: Drozd, Yuriy A.
Published: (2018)
Scalar Operators Representable as a Sum of Projectors
by: Rabanovych, V. I., et al.
Published: (2001)
by: Rabanovych, V. I., et al.
Published: (2001)
On representations of the algebras generated by a finite resolution of the identity and a collection of jointly orthogonal projections
by: E. N. Ashurova, et al.
Published: (2017)
by: E. N. Ashurova, et al.
Published: (2017)
Representations of correlations of the $і [A, B] = f(A) + g(B)$ type
by: Samoilenko , Yu. S., et al.
Published: (1991)
by: Samoilenko , Yu. S., et al.
Published: (1991)
On semisimple algebra codes: generator theory
by: Martınez-Moro, Edgar
Published: (2018)
by: Martınez-Moro, Edgar
Published: (2018)
On semisimple algebra codes: generator theory
by: Martınez-Moro, E.
Published: (2007)
by: Martınez-Moro, E.
Published: (2007)
Growth of generalized Temperley–Lieb algebras connected with simple graphs
by: Zavodovskii, M. V., et al.
Published: (2009)
by: Zavodovskii, M. V., et al.
Published: (2009)
On the Group $C^{*}$-Algebras of a Semidirect Product of Commutative and Finite Groups
by: Samoilenko, Yu. S., et al.
Published: (2005)
by: Samoilenko, Yu. S., et al.
Published: (2005)
Representation Type of Nodal Algebras of Type D
by: Drozd, Yu. A., et al.
Published: (2014)
by: Drozd, Yu. A., et al.
Published: (2014)
Clothed particle representation in quantum field theory: boost generators of the Poincaré group
by: Korda, V.Yu., et al.
Published: (2007)
by: Korda, V.Yu., et al.
Published: (2007)
Hopf Algebras and Integrable Flows Related to the Heisenberg–Weil Coalgebra
by: Blackmore, D., et al.
Published: (2004)
by: Blackmore, D., et al.
Published: (2004)
Representations and relative Rota-Baxter operators of Hom-Leibniz-Poisson algebras
by: Attan, Sylvain
Published: (2025)
by: Attan, Sylvain
Published: (2025)
On some problems in perturbation theory of smooth invariant tori of dynamical systems
by: Samoilenko, A. M., et al.
Published: (1994)
by: Samoilenko, A. M., et al.
Published: (1994)
Representations of strongly algebraically closed algebras
by: Molkhasi, A., et al.
Published: (2019)
by: Molkhasi, A., et al.
Published: (2019)
Representations of nodal algebras of type A
by: Drozd, Yu., et al.
Published: (2013)
by: Drozd, Yu., et al.
Published: (2013)
Representations of nodal algebras of type A
by: Yu. Drozd, et al.
Published: (2013)
by: Yu. Drozd, et al.
Published: (2013)
Diametral theory of algebraic surfaces and geometric theory of invariants of groups generated by reflections. III
by: Ignatenko, V. F., et al.
Published: (1998)
by: Ignatenko, V. F., et al.
Published: (1998)
Diametral theory of algebraic surfaces and geometric theory of invariants of groups generated by reflections. II
by: Ignatenko, V. F., et al.
Published: (1998)
by: Ignatenko, V. F., et al.
Published: (1998)
Diametral theory of algebraic surfaces and geometric theory of invariants of groups generated by reflections. I
by: Ignatenko, V. F., et al.
Published: (1998)
by: Ignatenko, V. F., et al.
Published: (1998)
Representations of nodal algebras of type E
by: Yu. Drozd, et al.
Published: (2017)
by: Yu. Drozd, et al.
Published: (2017)
The Reduction Method in the Theory of Lie-Algebraically Integrable Oscillatory Hamiltonian Systems
by: Prykarpatsky, A. K., et al.
Published: (2003)
by: Prykarpatsky, A. K., et al.
Published: (2003)
On large indecomposable modules, endo-wild representation type and right pure semisimple rings
by: Simson, Daniel
Published: (2018)
by: Simson, Daniel
Published: (2018)
On large indecomposable modules, endo-wild representation type and right pure semisimple rings
by: Simson, D.
Published: (2003)
by: Simson, D.
Published: (2003)
Tame and wild subspace problems
by: Gabriel, Р., et al.
Published: (1993)
by: Gabriel, Р., et al.
Published: (1993)
Generators and relations for wreath products
by: Drozd, Yu. A., et al.
Published: (2008)
by: Drozd, Yu. A., et al.
Published: (2008)
Similar Items
-
Periodic groups are not *-wild
by: Kalutskii, S. A., et al.
Published: (1997) -
Дикие задачи теории представлений *-алгебр, порожденных образующими и соотношениями
by: Пирятинская, А.Ю., et al.
Published: (1995) -
On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors
by: Popovich, S. V., et al.
Published: (2003) -
On C*-Algebras Generated by Deformations of CCR
by: Kabluchko, Z. A., et al.
Published: (2004) -
On pairs of unbounded self-adjoint operators satisfying an algebraic relation
by: Ostrovskii, V. L., et al.
Published: (1993)