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Horuzhy, Sergey Sergeevich
(1941–2020)
Statistics Math-Net.Ru
Total publications: 35
Scientific articles: 32

Number of views:
This page:3648
Abstract pages:10696
Full texts:3995
References:1154
Senior Researcher
Doctor of physico-mathematical sciences (1977)
Speciality: 01.04.02 (Theoretical physics)
Birth date: 5.10.1941
Keywords: operator algebras, distributions, indefinite metric spaces, axioms of quantum field theory, relativistic quantum models, constrained quantum systems, conformal theories.
   
Main publications:
  • Horuzhy S. S. Introduction to Algebraic Quantum Field Theory. Kluwer Academic Publishers, Dordrecht, 1990, 301 p.
  • Horuzhy S. S., Voronin A. V. Representations of the BRST algebra and unsolvable algebraic problems // J. Math. Phys., 1997, 38(8), 4301–4322.
  • Horuzhy S. S., Voronin A. V. BRST and l(1,1) // Rev. Math. Phys., 1993, 5(1), 191–208.
  • Horuzhy S. S., Voronin A. V. Remarks on mathematical structure of BRST theories // Commun. Math. Phys., 1989, 123, 677–685.

https://www.mathnet.ru/eng/person17784
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:khoruzhij.sergej-sergeevich
https://mathscinet.ams.org/mathscinet/MRAuthorID/191580
https://elibrary.ru/author_items.asp?authorid=4632

Publications in Math-Net.Ru Citations
2004
1. S. S. Horuzhy, “Rigorous Formulation of a $2D$ Conformal Model in the Fock–Krein Space: Construction of the Global $\operatorname{Op}J^*$-Algebra of Fields and Currents”, TMF, 141:1 (2004),  60–79  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 141:1 (2004), 1381–1397  isi
2000
2. A. V. Voronin, S. S. Horuzhy, “Conformal Theories, BRST Formalism and Representations of the Lie Superalgebras”, Trudy Mat. Inst. Steklova, 228 (2000),  155–167  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 228 (2000), 145–157
1994
3. A. V. Voronin, S. S. Horuzhy, “BRST quantization as a problem in the representation theory of Lie superalgebras”, Trudy Mat. Inst. Steklov., 203 (1994),  48–57  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 203 (1995), 43–51 1
1992
4. S. S. Horuzhy, A. V. Voronin, “A new approach to BRST operator cohomologies: Exact results for the BRST-fock theories”, TMF, 93:2 (1992),  342–353  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 93:2 (1992), 1318–1327  isi 2
5. A. V. Voronin, S. S. Horuzhy, “True BRST symmetry algebra and the theory of its representations”, TMF, 91:1 (1992),  3–16  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 91:1 (1992), 327–335  isi 2
1990
6. A. V. Voronin, S. S. Horuzhy, “$\mathrm{Op}^*$ and $\mathrm{C}^*$ dynamical systems. II. Structural differences: Borchers anomaly”, TMF, 82:3 (1990),  323–330  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 82:3 (1990), 225–230  isi
7. A. V. Voronin, S. S. Horuzhy, “$\mathrm{Op}^*$ and $\mathrm C^*$ dynamical systems I. Structural parallels”, TMF, 82:2 (1990),  163–177  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 82:2 (1990), 113–123  isi 1
1989
8. T. Ya. Azizov, S. S. Horuzhy, “Ghost number and ghost conjugation operators in the formalism of BRST quantization”, TMF, 80:1 (1989),  3–14  mathnet  mathscinet; Theoret. and Math. Phys., 80:1 (1989), 671–679  isi 2
1987
9. S. S. Horuzhy, “Some problems in algebraic quantum field theory”, Trudy Mat. Inst. Steklov., 176 (1987),  36–44  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 176 (1988), 35–88
10. K. Yu. Dadashyan, S. S. Horuzhy, “Field algebras in quantum theory with indefinite metric. IV”, TMF, 72:3 (1987),  340–351  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 72:3 (1987), 921–929 2
11. K. Yu. Dadashyan, S. S. Horuzhy, “Field algebras in quantum theory with indefinite metric. III. Spectrum of modular operator and Tomita's fundamental theorem”, TMF, 70:2 (1987),  181–191  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 70:2 (1987), 125–133  isi 4
1985
12. K. Yu. Dadashyan, S. S. Horuzhy, “Field algebras in quantum theory with indefinite metric. II. Formulation of a modular theory in Pontryagin space”, TMF, 62:1 (1985),  30–44  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 62:1 (1985), 21–30  isi 7
1984
13. A. V. Voronin, V. N. Sushko, S. S. Horuzhy, “Algebras of unbounded operators and vacuum superselection rules in quantum field theory II. Mathematical structure of vacuum superselection rules”, TMF, 60:3 (1984),  323–343  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 60:3 (1984), 849–862  isi 2
14. A. V. Voronin, V. N. Sushko, S. S. Horuzhy, “Algebras of unbounded operators and vacuum superselection rules in quantum field theory. I. Some properties of Op*-algebras and vector states on them”, TMF, 59:1 (1984),  28–48  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 59:1 (1984), 335–350  isi 23
1983
15. K. Yu. Dadashyan, S. S. Horuzhy, “On field algebras in quantum theory with indefinite metric”, TMF, 54:1 (1983),  57–77  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 54:1 (1983), 35–48  isi 15
1981
16. K. Yu. Dadashyan, S. S. Horuzhy, “Conditional expectations on von Neumann algebras and the causal independence of quantized fields”, TMF, 46:2 (1981),  147–156  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 46:2 (1981), 97–103  isi
1978
17. K. Yu. Dadashyan, S. S. Horuzhy, “Simplicity of the quasilocal algebra of the system of canonical anticommutation relations with compact gauge group”, TMF, 37:1 (1978),  3–11  mathnet  mathscinet; Theoret. and Math. Phys., 37:1 (1978), 837–842
18. K. Yu. Dadashyan, S. S. Horuzhy, “Algebras of observables of the free Dirac field”, TMF, 36:2 (1978),  166–182  mathnet  mathscinet; Theoret. and Math. Phys., 36:2 (1978), 665–675 1
1976
19. S. S. Horuzhy, “Fields and algebras of observables in models with superselection rules II. Model with non-Abelian gauge group”, TMF, 26:1 (1976),  3–15  mathnet  mathscinet; Theoret. and Math. Phys., 26:1 (1976), 1–8
1975
20. Yu. M. Zinoviev, V. N. Sushko, S. S. Horuzhy, “Equivalence properties of coherent superselection sectors and description of physical symmetries in algebraic axiomatic theory”, Trudy Mat. Inst. Steklov., 135 (1975),  127–136  mathnet  mathscinet
21. S. S. Horuzhy, “Fields and algebras of observables in models with superselection rules”, TMF, 25:3 (1975),  291–306  mathnet  mathscinet; Theoret. and Math. Phys., 25:3 (1975), 1139–1148 1
22. S. S. Horuzhy, “Superposition principle in Algebraic quantum theory”, TMF, 23:2 (1975),  147–159  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 23:2 (1975), 413–421 1
1973
23. M. K. Polivanov, V. N. Sushko, S. S. Horuzhy, “Axioms of algebra of observables and the field concept”, TMF, 16:1 (1973),  3–20  mathnet  zmath; Theoret. and Math. Phys., 16:1 (1973), 629–641 3
24. V. N. Sushko, S. S. Horuzhy, “$H$-images of vector states and causal properties of local algebras”, TMF, 15:2 (1973),  197–206  mathnet  zmath; Theoret. and Math. Phys., 15:2 (1973), 460–466 4
1972
25. V. N. Sushko, S. S. Horuzhy, “Local and asymptotic structure of quantum systems with superselection rules”, TMF, 13:3 (1972),  291–312  mathnet  mathscinet; Theoret. and Math. Phys., 13:3 (1972), 1147–1160 5
1971
26. V. N. Sushko, S. S. Horuzhy, “Properties of $H$ images of vector states on algebras of observables”, TMF, 8:3 (1971),  324–327  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 8:3 (1971), 862–864 5
1970
27. S. S. Horuzhy, “Fields and local observables in an axiomatic algebraic theory with superselection rules”, TMF, 5:1 (1970),  10–24  mathnet  zmath; Theoret. and Math. Phys., 5:1 (1970), 942–952 2
28. V. N. Sushko, S. S. Horuzhy, “Vector states on algebras of observables and superselection rules II. Algebraic theory of superselection rules”, TMF, 4:3 (1970),  341–359  mathnet  mathscinet; Theoret. and Math. Phys., 4:3 (1970), 877–889 17
29. V. N. Sushko, S. S. Horuzhy, “Vector states on algebras of observables and superselection rules I. Vector states and Hilbert space”, TMF, 4:2 (1970),  171–195  mathnet  mathscinet; Theoret. and Math. Phys., 4:2 (1970), 758–774 14
30. S. S. Horuzhy, “Structure of local $W^*$-albebras in relativistic quantum theory”, TMF, 2:3 (1970),  350–360  mathnet  mathscinet; Theoret. and Math. Phys., 2:3 (1970), 253–260
1969
31. S. S. Horuzhy, “Extended locality and other properties of local $W^*$-algebras”, TMF, 1:1 (1969),  95–100  mathnet  zmath; Theoret. and Math. Phys., 1:1 (1969), 73–77 3
1967
32. S. S. Horuzhy, “Local properties of unrenormalizable theories”, Dokl. Akad. Nauk SSSR, 177:2 (1967),  306–309  mathnet  zmath 1
1992
33. N. N. Bogolyubov, V. S. Vladimirov, A. A. Logunov, V. P. Maslov, E. F. Mishchenko, A. N. Tavkhelidze, L. D. Faddeev, A. A. Slavnov, D. V. Shirkov, V. G. Kadyshevskii, V. A. Matveev, V. A. Moskalenko, D. N. Zubarev, B. V. Medvedev, V. Ya. Fainberg, O. A. Khrustalev, I. Ya. Aref'eva, O. I. Zavialov, V. P. Pavlov, A. K. Pogrebkov, S. S. Horuzhy, “Mikhail Konstantinovich Polivanov (1930–1992)”, TMF, 90:2 (1992),  162  mathnet; Theoret. and Math. Phys., 90:2 (1992), 107  isi 1
34. O. I. Zavialov, D. N. Zubarev, B. V. Medvedev, S. P. Novikov, V. P. Pavlov, A. K. Pogrebkov, A. A. Slavnov, A. D. Sukhanov, L. D. Faddeev, S. S. Horuzhy, D. V. Shirkov, “Mikhail Konstantinovich Polivanov (Obituary)”, UFN, 162:7 (1992),  183–186  mathnet; Phys. Usp., 35:7 (1992), 623–625
1972
35. S. S. Horuzhy, “Содержание понятия “физическая теория” и аксиоматическое обоснование структуры гильбертова пространства квантовой механики через основные положения измерений”, UFN, 106:1 (1972),  178–180  mathnet

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