|
|
|
|
Список литературы
|
|
| |
| 1. |
Акбаров С. С., “Голоморфные функции экспоненциального типа и двойственность для групп Штейна с алгебраической связной компонентой единицы”, Фундам. прикл. мат., 14:1 (2008), 3–178  |
| 2. |
Aristov O. Yu., “Arens-Michael envelopes of nilpotent Lie algebras, functions of exponential type, and homological epimorphisms”, Тр. Моск. мат. о-ва, 81, № 1, 2020, 117–136   |
| 3. |
Aristov O. Yu., “Holomorphic functions of exponential type on connected complex Lie groups”, J. Lie Theory, 29:4 (2019), 1045–1070 |
| 4. |
Аристов О. Ю., “Соотношение “коммутатор равен функции” в банаховых алгебрах”, Мат. заметки, 109:3 (2021), 323–337  |
| 5. |
Aristov O. Yu., “On holomorphic reflexivity conditions for complex Lie groups”, Proc. Edinb. Math. Soc. (2), 64:4 (2021), 800–821 |
| 6. |
Aristov O. Yu., When a completion of the universal enveloping algebra is a Banach PI-algebra?, Bull. Aust. Math. Soc., 107:3 (2023), 493–501 |
| 7. |
Aristov O. Yu., “Holomorphically finitely generated Hopf algebras and quantum Lie groups”, Moscow Math. J., 24:2 (2024) (в печати) |
| 8. |
Aristov O. Yu., “Length functions exponentially distorted on subgroups of complex Lie groups”, Eur. J. Math., 9:3 (2023), 60, 17 pp. |
| 9. |
Dăscălescu S., Năstăsescu C., Raianu S., Hopf algebras. An introduction, Monogr. Text. Pure Appl. Math., 235, Marcel Dekker, Inc., New York, 2001 |
| 10. |
de Cornulier Y., “Dimension of asymptotic cones of Lie groups”, J. Topology, 1:2 (2008), 342–361 |
| 11. |
Dosi A., “Fréchet sheaves and Taylor spectrum for supernilpotent Lie algebra of operators”, Mediterr. J. Math., 6:2 (2009), 181–201 |
| 12. |
Доси А. А., “Спектр Тейлора и трансверсальность для операторной алгебры Гейзенберга”, Мат. сб., 201:3 (2010), 39–62 |
| 13. |
Dosi A. A., “Taylor functional calculus for supernilpotent Lie algebra of operators”, J. Operator Theory, 63:1 (2010), 191–216 |
| 14. |
Dosi A. A., “Formally-radical functions in elements of a nilpotent Lie algebra and noncommutative localizations”, Algebra Colloq., 17:1, Spec. Iss. (2010), 749–788 |
| 15. |
Dzinotyiweyi H. A. M., “Weighted function algebras on groups and semigroups”, Bull. Austral. Math. Soc., 33:2 (1986), 307–318 |
| 16. |
Хелемский А. Я., Банаховы и полинормированные алгебры: общая теория, представления, гомологии, Наука, М., 1989 |
| 17. |
Heyneman R. G, Sweedler M. E., “Afine Hopf algebras”, I, J. Algebra, 13 (1969), 192–241 |
| 18. |
Hilgert J., Neeb K.-H., Structure and geometry of Lie groups, Springer Monogr. Math., Springer, New York, 2012 |
| 19. |
Kanel-Belov A., Karasik Y., Rowen L. H., Computational aspects of polynomial identities, v. 1, Monogr. Res. Notes Math., Kemer's theorems, 2nd ed., CRC Press, Boca Raton, FL, 2016 |
| 20. |
Келли Д. Л., Общая топология, 2-е изд., Наука, M., 1981 |
| 21. |
Lee D. H., The structure of complex Lie groups, Chapman & Hall/CRC Res. Notes Math., 429, Chapman & Hall/CRC, Boca Raton, FL, 2002 |
| 22. |
Литвинов Г. Л., “Групповые алгебры аналитических функционалов и их представления”, Докл. АН СССР, 190:4 (1970), 769–771 |
| 23. |
Литвинов Г. Л., “Представления групп в локально выпуклых пространствах и топологические групповые алгебры”, Тр. семин. векторн. тензорн. анализ., 16, 1972, 267–349 |
| 24. |
Luminet D., “A functional calculus for Banach PI-algebras”, Pacific J. Math., 125:1 (1986), 127–160 |
| 25. |
Majid S., “Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction”, J. Algebra, 130 (1990), 17–64 |
| 26. |
Mallios A., Topological algebras. Selected topics, North-Holland Math. Stud., 124, North-Holland Publ. Co., Amsterdam, 1986 |
| 27. |
McConnell J. C., Robson J. C., Noncommutative Noetherian rings, Pure Appl. Math. (New York), A Wiley-Intersci. Publ., John Wiley & Sons, Ltd., Chichester, 1987 |
| 28. |
Molnar R. K., “Semi-direct products of Hopf algebras”, J. Algebra, 47 (1977), 29–51 |
| 29. |
Neeb K.-H., Infinite-dimensional Lie groups, 3rd cycle, Monastir (Tunisie), 2005, 76 pp. |
| 30. |
Osin D. V., “Exponential radicals of solvable Lie groups”, J. Algebra, 248:2 (2002), 790–805 |
| 31. |
Pirkovskii A. Yu., “Stably flat completions of universal enveloping algebras”, Dissertationes Math., 441 (2006), 1–60 |
| 32. |
Pirkovskii A. Yu., “Arens-Michael enveloping algebras and analytic smash products”, Proc. Amer. Math. Soc., 134:9 (2006), 2621–2631 |
| 33. |
Pirkovskii A. Yu., “Noncommutative analogues of Stein spaces of finite embedding dimension”, Algebraic methods in functional analysis, Oper. Theory Adv. Appl., 233, Birkhauser/Springer, Basel, 2014, 135–153 |
| 34. |
Pirkovskii A. Yu., “Holomorphically finitely generated algebras”, J. Noncommut. Geom., 9:1 (2015), 215–264 |
| 35. |
Radford D. E., Hopf algebras, Series on Knots and Everything, 49, World Sci. Publ., Hackensack, NJ, 2012 |
| 36. |
Takeuchi M., “$Ext_{ad}(Sp~R, \mu^A)\sim \hat{B}r(A/k)$”, J. Algebra, 67:2 (1980), 436–475 |
