Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book discusses the importance of flag varieties in geometric objects and elucidates its richness as interplay of geometry, combinatorics and representation theory. The book presents a discussion on the representation theory of complex semisimple Lie algebras, as well as the representation theory of semisimple algebraic groups. In addition, the book also discusses the representation theory of symmetric groups. In the area of algebraic geometry, the book gives a detailed account of the Grassmannian varieties, flag varieties, and their Schubert subvarieties. Many of the geometric results admit elegant combinatorial description because of the root system connections, a typical example being the description of the singular locus of a Schubert variety. This discussion is carried out as a consequence of standard monomial theory. Consequently, this book includes standard monomial theory and some important applications—singular loci of Schubert varieties, toric degenerations of Schubert varieties, and the relationship between Schubert varieties and classical invariant theory. The two recent results on Schubert varieties in the Grassmannian have also been included in this book. The first result gives a free resolution of certain Schubert singularities. The second result is about certain Levi subgroup actions on Schubert varieties in the Grassmannian and derives some interesting geometric and representation-theoretic consequences.

Mathematics. --- Algebraic geometry. --- Associative rings. --- Rings (Algebra). --- Group theory. --- Group Theory and Generalizations. --- Associative Rings and Algebras. --- Algebraic Geometry. --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Algebraic rings --- Ring theory --- Algebraic fields --- Rings (Algebra) --- Algebraic geometry --- Geometry --- Math --- Science --- Geometry, Algebraic. --- Flag manifolds. --- Representations of groups. --- Semisimple Lie groups. --- Schubert varieties. --- MATHEMATICS -- Geometry -- General. --- Geometry, Algebraic --- Semi-simple Lie groups --- Lie groups --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Flag varieties (Mathematics) --- Manifolds, Flag --- Varieties, Flag (Mathematics) --- Algebraic varieties

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book discusses the importance of flag varieties in geometric objects and elucidates its richness as interplay of geometry, combinatorics and representation theory. The book presents a discussion on the representation theory of complex semisimple Lie algebras, as well as the representation theory of semisimple algebraic groups. In addition, the book also discusses the representation theory of symmetric groups. In the area of algebraic geometry, the book gives a detailed account of the Grassmannian varieties, flag varieties, and their Schubert subvarieties. Many of the geometric results admit elegant combinatorial description because of the root system connections, a typical example being the description of the singular locus of a Schubert variety. This discussion is carried out as a consequence of standard monomial theory. Consequently, this book includes standard monomial theory and some important applications—singular loci of Schubert varieties, toric degenerations of Schubert varieties, and the relationship between Schubert varieties and classical invariant theory. The two recent results on Schubert varieties in the Grassmannian have also been included in this book. The first result gives a free resolution of certain Schubert singularities. The second result is about certain Levi subgroup actions on Schubert varieties in the Grassmannian and derives some interesting geometric and representation-theoretic consequences.

Group theory --- Algebra --- Algebraic geometry --- Geometry --- algebra --- landmeetkunde --- wiskunde --- geometrie

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book helps people find sensitive information on the Web.Google is one of the 5 most popular sites on the internet with more than 380 million unique users per month (Nielsen/NetRatings 8/05). But, Google's search capabilities are so powerful, they sometimes discover content that no one ever intended to be publicly available on the Web including: social security numbers, credit card numbers, trade secrets, and federally classified documents. Google Hacking for Penetration Testers Volume 2 shows the art of manipulating Google used by security professionals and system administr

Web search engines. --- Computer security. --- Internet programming. --- Internet --- Computer networks --- Security measures. --- Google. --- Computer network security --- Network security, Computer --- Security of computer networks --- Computer privacy --- Computer system security --- Computer systems --- Computers --- Cyber security --- Cybersecurity --- Electronic digital computers --- Security of computer systems --- Web searching --- World Wide Web searching --- Security measures --- BackRub --- Protection of computer systems --- Protection --- Computer security --- Computer programming --- Data protection --- Security systems --- Hacking --- Internet searching --- Search engines --- Web portals --- World Wide Web --- Subject access --- Information Technology --- General and Others

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Google is the most popular search engine ever created, but Google’s search capabilities are so powerful, they sometimes discover content that no one ever intended to be publicly available on the Web, including social security numbers, credit card numbers, trade secrets, and federally classified documents. Google Hacking for Penetration Testers, Third Edition, shows you how security professionals and system administratord manipulate Google to find this sensitive information and "self-police" their own organizations. You will learn how Google Maps and Google Earth provide pinpoint military accuracy, see how bad guys can manipulate Google to create super worms, and see how they can "mash up" Google with Facebook, LinkedIn, and more for passive reconnaissance. This third edition includes completely updated content throughout and all new hacks such as Google scripting and using Google hacking with other search engines and APIs. Noted author Johnny Long, founder of Hackers for Charity, gives you all the tools you need to conduct the ultimate open source reconnaissance and penetration testing. Third edition of the seminal work on Google hacking Google hacking continues to be a critical phase of reconnaissance in penetration testing and Open Source Intelligence (OSINT) Features cool new hacks such as finding reports generated by security scanners and back-up files, finding sensitive info in WordPress and SSH configuration, and all new chapters on scripting Google hacks for better searches as well as using Google hacking with other search engines and APIs

Computer. Automation --- Search engines. --- Penetration testing (Computer security) --- Google (Firm) --- Google. --- Ethical hacking (Computer security) --- Computer security --- Agents, Search --- Engines, Search --- Search agents --- Electronic information resource searching --- Information filtering systems --- Google Inc. --- جوجل (Firm) --- Jūjil (Firm) --- Jūjal (Firm) --- شركة جوجل المحدودة --- Sharikat Jūjil al-Maḥdūdah --- Sharikat Jūjal al-Maḥdūdah --- Gugolu (Firm) --- Гугъл (Firm) --- Gugŭl (Firm) --- Кукăль (Firm) --- Kukălʹ (Firm) --- گوگل (Firm) --- شرکت گوگل --- Shirkat-i Gūgul --- 구글 (Firm) --- Kugŭl (Firm) --- גוגל (Firm) --- Gugel (Firm) --- グーグル (Firm) --- Gūguru (Firm) --- Гугл (Firm) --- Gugl (Firm) --- BackRub --- Web search engines. --- Computer security. --- Internet programming. --- Internet --- Computer networks --- Security measures.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

"Google is the most popular search engine ever created, but Google's search capabilities are so powerful, they sometimes discover content that no one ever intended to be publicly available on the Web, including social security numbers, credit card numbers, trade secrets, and federally classified documents. Google Hacking for Penetration Testers, Third Edition, shows you how security professionals and system administratord manipulate Google to find this sensitive information and "self-police" their own organizations. You see how bad guys can manipulate Google to create super worms, and see how they can "mash up" Google with Facebook, LinkedIn, and more for passive reconnaissance. This third edition includes completely updated content and all new hacks such as Google scripting and using Google hacking with other search engines and APIs. Noted author Johnny Long, founder of Hackers for Charity, gives you all the tools you need to conduct the ultimate open source reconnaissance and penetration testing."--Page 4 of cover.

Computer. Automation